Answer
$\ln{(e^3)} = 3$
Work Step by Step
Let
$\ln{(e^3)}=y$
RECALL:
$\ln{x} = y \longrightarrow e^y=x$
Use the rule above to obtain:
$\ln{e^3} = y \longrightarrow e^y=e^3$
Use the rule "$a^m=a^n \longrightarrow m=n$" to obtain:
$y= 3$
Thus,
$\ln{(e^3)} = 3$