# How do you solve  2^x=5?

May 6, 2016

$x = \log \frac{5}{\log} 2 \approx 2.32$

#### Explanation:

Given'
${2}^{x} = 5$
Taking log of both sides
$\implies \log {2}^{x} = \log 5$
$\implies x \log 2 = \log 5$
$\implies x = \log \frac{5}{\log} 2 = \frac{0.6989}{0.3010} \approx 2.32$