Answer
$x \approx 3.2619$
Work Step by Step
\begin{align*}
\log{3^x}&=\log{36} &\text{Take the common logarithm of both sides.}\\\\
x\cdot \log{3} &= \log{36} &\text{Use the Power Property of Logarithms.}\\\\
\frac{x\cdot \log{3}}{\log3} &= \frac{\log{36}}{\log3} &\text{Divide $\log{3}$ to both sides.}\\\\
x &= \frac{\log{36}}{\log3} \\\\
x &\approx 3.2619 &\text{Evaluate using a calculator.}\\\\
\end{align*}
