#### Answer

{$\frac{\log 11}{\log 3}$} , {$2.1827$}

#### Work Step by Step

$3^{x}=11$
$\log 3^{x}=\log 11$
$x\log 3=\log 11$
$x=\frac{\log 11}{\log 3}\approx\frac{1.041393}{0.477121}\approx2.1827$
The exact solution is {$\frac{\log 11}{\log 3}$} while the solution to 4 decimal places is {$2.1827$}.