Answer
$x\approx 1.3652$
Work Step by Step
\begin{align*}
5^x&=9 &\text{Subtract $3$ from each side.}\\\\
\log{\left(5^{x}\right)}&=\log{9} &\text{Take the common logarithm of both sides.}\\\\
x\cdot \log{5}
&=\log{9} &\text{Apply the Power Property of Logarithms.}\\\\
\dfrac{x\cdot\log{5}}{\log{5}}&=\dfrac{\log{9}}{\log{5}} &\text{Divide $\log{5}$ to both sides.}\\\\
x&= \dfrac{\log{5}}{\log{9}}\\\\
x&\approx 1.3652&\text{Use a calculator to evaluate.}
\end{align*}
