Answer
False.
A true statement: $\ln e^{e}=e $
Work Step by Step
Logarithms are defined for positive numbers only (not 0).
The LHS is undefined, so the statement is false.
The LHS can be changed to equal e using a basic property, $\log_{b}b^{x}=x $.
$\ln x $ means $\log_{e}x $, so we substitute both b and x with e to obtain
$\ln e^{e}=e $
