Answer
false;
Corrected statement:
$\ln{e} = 1$
Work Step by Step
RECALL:
$\ln_b{x}=y \longrightarrow e^y=x$
Thus, if
$\ln{e}=y$, then $e^y=e$
Using the rule $a^m=a^n \longrightarrow m=n$ gives:
$y=1$
Therefore,
$\ln{e} = 1$
Thus, the statement is false.
A correct statement would be: $\ln{e} = 1$.
