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How do you reduce ln(3^-e e^3) to simplest form

User Mikepurvis
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1 Answer

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The logarithm of a product is equal to the sum of logarithms:


\ln(3^(-e)e^3)=\ln3^(-e)+\ln e^3

Drop the exponents:


-e\ln3+3\ln e

The logarithm of a number is equal to 1 if the base of the logarithm is the same as the number itself:


-e\ln3+3

User Leoluyi
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