Answer
$ x\approx 3.85$
Work Step by Step
$10^{x}=7000$
We can't show the RHS as a power of 10, so we apply $\log($...$)$ to both sides
$\log 10^{x}=\log 7000\qquad $ ... apply basic property, $\log_{b}b^{x}=x $
$ x=\log 7000\qquad $ ... use a calculator and round to two decimal places
$ x\approx 3.85$