Answer
{$\frac{\log 7}{\log 4}$}, {$1.4037$}
Work Step by Step
$4^{x}=7$
$\log 4^{x}=\log 7$
$x\log 4=\log 7$
$x=\frac{\log 7}{\log 4}\approx\frac{0.845098}{0.602060}\approx1.4037$
The exact solution is {$\frac{\log 7}{\log 4}$} while the solution to 4 decimal places is {$1.4037$}.
