Answer
{$\frac{\log 6}{\log 3}$}, {$1.6309$}
Work Step by Step
$3^{x}=6$
$\log 3^{x}=\log 6$
$x\log 3=\log 6$
$x=\frac{\log 6}{\log 3}\approx\frac{0.778151}{0.477121}\approx1.6309$
The exact solution is {$\frac{\log 6}{\log 3}$} while the solution to 4 decimal places is {$1.6309$}.