# How do you solve 7^x = 30?

$x = 1.7478$
${7}^{x} = 30$ means $x = {\log}_{7} \left(30\right)$.
$x = {\log}_{7} \left(30\right) = \log \frac{30}{\log} 7 = \frac{1.4771}{0.8451} = 1.7478$