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How do you solve #6^x=13#?

Answer 1

Elijah Allen

#x≈1.432" to 3 decimal places"#

Using the #color(blue)"law of logarithms"#

#color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(loga^n=nloga)color(white)(2/2)|)))#

#6^x=13#

Calculate the natural log (ln) for each side.

#rArrln6^x=ln13#

#rArrxln6=ln13#

#rArrx=ln13/ln6≈1.432" to 3 decimal places"#

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Answer 2

Sadie Ackerman

To solve (6^x = 13), you would take the natural logarithm of both sides of the equation and solve for (x). The solution is (x = \log_6(13)).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.