#### Answer

{$\frac{\log5}{\log 2}$}, {$2.3219$}

#### Work Step by Step

$2^{x}=5$
$\log 2^{x}=\log5$
$x\log 2=\log5$
$x=\frac{\log5}{\log 2}\approx\frac{0.69897}{0.30103}\approx2.3219$
The exact solution is {$\frac{\log5}{\log 2}$} while the solution to four decimal places is {$2.3219$}.