Answer
$x=\dfrac{\log7}{\log3}$
Work Step by Step
Taking the logarithm of both sides, then the values of $x$ in the equation $
3^x=7
$ is
\begin{array}{l}
\log3^x=\log7
\\
x(\log3)=\log7
\\
x=\dfrac{\log7}{\log3}
.\end{array}
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