Answer
$x=e^2+7$
Work Step by Step
Recall:
$$\ln{a}=y \longrightarrow e^y=a$$
Use the definition above to obtain:
\begin{align*}
\ln{(x-7)}&=2\\
e^2&=x-7\\
\end{align*}
Add $7$ to both sides to obtain:
\begin{align*}
e^2+7&=x-7+7\\
e^2+7&=x
\end{align*}
