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How do you condense #2lnx+ln3#?

Answer 1

Caleb Alexander

#ln(3x^2)#

If the logs are being added, the numbers are being multiplied.

#2lnx + ln 3 =lnx^2 + ln3#

=#ln(x^2 xx 3)#

=#ln(3x^2)#

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Answer 2

Madelyn Anderson

To condense (2\ln(x) + \ln(3)), you can combine the logarithms using the properties of logarithms. Specifically, you can combine them into a single logarithm by adding their coefficients as exponents inside the logarithm.

So, (2\ln(x) + \ln(3)) condenses to (\ln(x^2 \cdot 3)), which simplifies to (\ln(3x^2)).

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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.