# How do you solve #lnx+ln(x+2)=4#?

graph{ln(x)+ln(x+2)-4 [-7.54, 20.94, -6.05, 8.19]}

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Combine theCombine the naturalToCombine the natural logarithTo solve theCombine the natural logarithms using the property lnTo solve the equationCombine the natural logarithms using the property ln(aTo solve the equation lnxCombine the natural logarithms using the property ln(a)To solve the equation lnx + ln(x +Combine the natural logarithms using the property ln(a) +To solve the equation lnx + ln(x + Combine the natural logarithms using the property ln(a) + lnTo solve the equation lnx + ln(x + 2)Combine the natural logarithms using the property ln(a) + ln(bTo solve the equation lnx + ln(x + 2) =Combine the natural logarithms using the property ln(a) + ln(b) = lnTo solve the equation lnx + ln(x + 2) = Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b).To solve the equation lnx + ln(x + 2) = 4Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then,To solve the equation lnx + ln(x + 2) = 4,Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solveTo solve the equation lnx + ln(x + 2) = 4, you canCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve forTo solve the equation lnx + ln(x + 2) = 4, you can useCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for xTo solve the equation lnx + ln(x + 2) = 4, you can use theCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

To solve the equation lnx + ln(x + 2) = 4, you can use the properties ofCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

lnTo solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithmsCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(xTo solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms toCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x)To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combineCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) +To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine theCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + lnTo solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(xTo solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmicCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic termsCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms intoCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2)To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into aCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = lnTo solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(xTo solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithmCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(xTo solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm.Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. ThenCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then,Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, youCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 +To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you canCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solveCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for xCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2xTo solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x.Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x -To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. FirstCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - eTo solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First,Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combineCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine theCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 =To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmicCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic termsCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms:Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

UseTo solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: lnCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use theTo solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(xCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadraticTo solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(xCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formulaTo solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x +Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula toTo solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solveTo solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve forTo solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. NowCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for xTo solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiateCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

xTo solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate bothCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x =To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sidesCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides usingCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-bTo solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using theCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ±To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the baseCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base eCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e,Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, sinceCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln representsCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 -To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents theCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the naturalCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4acTo solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac))To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithmCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) /To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm:Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: eCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2aTo solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(lnCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(xCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a xTo solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(xCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x =To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x +Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ±To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2)))Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) =Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = eCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^2To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4.Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^2 -To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4. ThisCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^2 - To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4. This simplCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^2 - 4To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4. This simplifiesCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^2 - 4(To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4. This simplifies toCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^2 - 4(1To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4. This simplifies to xCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^2 - 4(1)(To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4. This simplifies to x(xCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^2 - 4(1)(-To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4. This simplifies to x(x +Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^2 - 4(1)(-eTo solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4. This simplifies to x(x + Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^2 - 4(1)(-e^To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4. This simplifies to x(x + 2Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^2 - 4(1)(-e^4To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4. This simplifies to x(x + 2)Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^2 - 4(1)(-e^4)))To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4. This simplifies to x(x + 2) =Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^2 - 4(1)(-e^4))) /To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4. This simplifies to x(x + 2) = eCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^2 - 4(1)(-e^4))) / (To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4. This simplifies to x(x + 2) = e^4. Expand the left side of the equation: x^2 + 2x = e^4. Rearrange the equation into a quadratic form: x^2 + 2x - e^4 = 0. Now, you can solve this quadratic equation using methods such as factoring, completing the square, or using theCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^2 - 4(1)(-e^4))) / (2To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4. This simplifies to x(x + 2) = e^4. Expand the left side of the equation: x^2 + 2x = e^4. Rearrange the equation into a quadratic form: x^2 + 2x - e^4 = 0. Now, you can solve this quadratic equation using methods such as factoring, completing the square, or using the quadraticCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^2 - 4(1)(-e^4))) / (2(To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4. This simplifies to x(x + 2) = e^4. Expand the left side of the equation: x^2 + 2x = e^4. Rearrange the equation into a quadratic form: x^2 + 2x - e^4 = 0. Now, you can solve this quadratic equation using methods such as factoring, completing the square, or using the quadratic formulaCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^2 - 4(1)(-e^4))) / (2(1To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4. This simplifies to x(x + 2) = e^4. Expand the left side of the equation: x^2 + 2x = e^4. Rearrange the equation into a quadratic form: x^2 + 2x - e^4 = 0. Now, you can solve this quadratic equation using methods such as factoring, completing the square, or using the quadratic formula.Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^2 - 4(1)(-e^4))) / (2(1)) To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4. This simplifies to x(x + 2) = e^4. Expand the left side of the equation: x^2 + 2x = e^4. Rearrange the equation into a quadratic form: x^2 + 2x - e^4 = 0. Now, you can solve this quadratic equation using methods such as factoring, completing the square, or using the quadratic formula. OnceCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^2 - 4(1)(-e^4))) / (2(1)) xTo solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4. This simplifies to x(x + 2) = e^4. Expand the left side of the equation: x^2 + 2x = e^4. Rearrange the equation into a quadratic form: x^2 + 2x - e^4 = 0. Now, you can solve this quadratic equation using methods such as factoring, completing the square, or using the quadratic formula. Once youCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^2 - 4(1)(-e^4))) / (2(1)) x =To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4. This simplifies to x(x + 2) = e^4. Expand the left side of the equation: x^2 + 2x = e^4. Rearrange the equation into a quadratic form: x^2 + 2x - e^4 = 0. Now, you can solve this quadratic equation using methods such as factoring, completing the square, or using the quadratic formula. Once you findCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^2 - 4(1)(-e^4))) / (2(1)) x = (-To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4. This simplifies to x(x + 2) = e^4. Expand the left side of the equation: x^2 + 2x = e^4. Rearrange the equation into a quadratic form: x^2 + 2x - e^4 = 0. Now, you can solve this quadratic equation using methods such as factoring, completing the square, or using the quadratic formula. Once you find theCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^2 - 4(1)(-e^4))) / (2(1)) x = (-2To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4. This simplifies to x(x + 2) = e^4. Expand the left side of the equation: x^2 + 2x = e^4. Rearrange the equation into a quadratic form: x^2 + 2x - e^4 = 0. Now, you can solve this quadratic equation using methods such as factoring, completing the square, or using the quadratic formula. Once you find the solutionsCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^2 - 4(1)(-e^4))) / (2(1)) x = (-2 ±To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4. This simplifies to x(x + 2) = e^4. Expand the left side of the equation: x^2 + 2x = e^4. Rearrange the equation into a quadratic form: x^2 + 2x - e^4 = 0. Now, you can solve this quadratic equation using methods such as factoring, completing the square, or using the quadratic formula. Once you find the solutions forCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^2 - 4(1)(-e^4))) / (2(1)) x = (-2 ± √To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4. This simplifies to x(x + 2) = e^4. Expand the left side of the equation: x^2 + 2x = e^4. Rearrange the equation into a quadratic form: x^2 + 2x - e^4 = 0. Now, you can solve this quadratic equation using methods such as factoring, completing the square, or using the quadratic formula. Once you find the solutions for xCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^2 - 4(1)(-e^4))) / (2(1)) x = (-2 ± √(4 + 4e^4)) / 2 x =To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4. This simplifies to x(x + 2) = e^4. Expand the left side of the equation: x^2 + 2x = e^4. Rearrange the equation into a quadratic form: x^2 + 2x - e^4 = 0. Now, you can solve this quadratic equation using methods such as factoring, completing the square, or using the quadratic formula. Once you find the solutions for x,Combine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^2 - 4(1)(-e^4))) / (2(1)) x = (-2 ± √(4 + 4e^4)) / 2 x = (-2 ± √(4(1 + e^4))) / 2 x = (-To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4. This simplifies to x(x + 2) = e^4. Expand the left side of the equation: x^2 + 2x = e^4. Rearrange the equation into a quadratic form: x^2 + 2x - e^4 = 0. Now, you can solve this quadratic equation using methods such as factoring, completing the square, or using the quadratic formula. Once you find the solutions for x, rememberCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^2 - 4(1)(-e^4))) / (2(1)) x = (-2 ± √(4 + 4e^4)) / 2 x = (-2 ± √(4(1 + e^4))) / 2 x = (-2 ± 2√(1 + e^4)) / 2 xTo solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4. This simplifies to x(x + 2) = e^4. Expand the left side of the equation: x^2 + 2x = e^4. Rearrange the equation into a quadratic form: x^2 + 2x - e^4 = 0. Now, you can solve this quadratic equation using methods such as factoring, completing the square, or using the quadratic formula. Once you find the solutions for x, remember toCombine the natural logarithms using the property ln(a) + ln(b) = ln(a*b). Then, solve for x:

ln(x) + ln(x+2) = ln(x(x+2)) = ln(x^2 + 2x) = 4 x^2 + 2x = e^4 x^2 + 2x - e^4 = 0

Use the quadratic formula to solve for x:

x = (-b ± √(b^2 - 4ac)) / 2a x = (-2 ± √(2^2 - 4(1)(-e^4))) / (2(1)) x = (-2 ± √(4 + 4e^4)) / 2 x = (-2 ± √(4(1 + e^4))) / 2 x = (-2 ± 2√(1 + e^4)) / 2 x = -1 ± √(1 + e^4)To solve the equation lnx + ln(x + 2) = 4, you can use the properties of logarithms to combine the logarithmic terms into a single logarithm. Then, you can solve for x. First, combine the logarithmic terms: ln(x(x + 2)) = 4. Now, exponentiate both sides using the base e, since ln represents the natural logarithm: e^(ln(x(x + 2))) = e^4. This simplifies to x(x + 2) = e^4. Expand the left side of the equation: x^2 + 2x = e^4. Rearrange the equation into a quadratic form: x^2 + 2x - e^4 = 0. Now, you can solve this quadratic equation using methods such as factoring, completing the square, or using the quadratic formula. Once you find the solutions for x, remember to check for any extraneous solutions that might arise from the original equation.

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