The logarithm of a product is equal to the sum of logarithms:
[tex]\ln(3^{-e}e^3)=\ln3^{-e}+\ln e^3[/tex]
Drop the exponents:
[tex]-e\ln3+3\ln e[/tex]
The logarithm of a number is equal to 1 if the base of the logarithm is the same as the number itself:
[tex]-e\ln3+3[/tex]
