Question

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

Answer 1

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`