Answer
(a) $x=e^3$
(b) $x=2$
Work Step by Step
RECALL:
$\ln{x}=y \longrightarrow e^y=x$
Use the rule above to obtain:
(a)
$\begin{array}{ccc}
&e^{3}&=&x
\end{array}$
(b)
$\begin{array}{ccc}
&e^x&=&e^2
\end{array}$
Use the rule $a^m=a^n \longrightarrow m=n$ to obtain:
$x=2$