Answer
$x=\log25\approx1.397940$
Work Step by Step
$10^{x}=25$
Apply $\log$ to both sides of the equation:
$\log10^{x}=\log25$
We take the $x$ down to multiply in front of the logarithm:
$x\log10=\log25$
Since $\log10=1$, we can finally get our answer:
$x=\log25\approx1.397940$
