College Algebra, Chapter 5, 5.4, Section 5.4, Problem 58

Solve for $x$: $\log_2 (\log_3 x) = 4$

$
\begin{equation}
\begin{aligned}
\log_2 ( \log_3 x) &=4 \\
\\
2^{\log_2 ( \log_3 x)} &= 2^4 && \text{Raise 2 to each side}\\
\\
\log_3x &= 16 && \text{Property of log}\\
\\
3^{\log_3 x} &= 3^{16} && \text{Raise 3 to each side}\\
\\
x &= 3^{16} && \text{Property of log}
\end{aligned}
\end{equation}
$