Answer
$x=5$
Work Step by Step
RECALL:
$\ln{(x)}=y \longrightarrow e^y = x$
(The base of the natural logarithm is $e$.)
Use the rule above to obtain:
$\ln{(e^x)}=5 \longrightarrow e^5=e^x$
Use the rule $a^m=a^n \longrightarrow m=n$ to obtain:
$5=x$