#### Answer

{$\frac{\log 5}{\log 9}$}, {$0.7325$}

#### Work Step by Step

$9^{x}=5$
$\log 9^{x}=\log 5$
$x\log 9=\log 5$
$x=\frac{\log 5}{\log 9}\approx\frac{0.698970}{0.954243}\approx0.7325$
The exact solution is {$\frac{\log 5}{\log 9}$} while the solution to 4 decimal places is {$0.7325$}.