# How do you solve 10^x=30?

Nov 24, 2015

$x = {\log}_{10} 30 \approx 1.477$

#### Explanation:

${\log}_{b} p = q$ is equivalent to ${b}^{q} = p$

Therefore
${10}^{x} = 30$ is equivalent to ${\log}_{10} 30 = x$

${\log}_{10} 30$ can be evaluated using a calculator as $\approx 1.477$