Answer
$x = \dfrac{\log{5}}{\log{9}} \approx 0.7325$
Work Step by Step
Take the common logarithm of both sides to have:
$\log{9^{x}}=\log{5}$
Apply the power property of logarithms to have:
$x(\log{9}) = \log{5}$
Divide $\log{9}$ to both sides to have:
$\\x = \dfrac{\log{5}}{\log{9}}
\\x \approx 0.7325$
