# How do you calculate Log_2(2)?

Jul 19, 2016

${\log}_{2} \left(2\right) = 1$
An expression in exponential form ${a}^{n} = b$ is written as ${\log}_{a} b = n$.
Now ${a}^{1} = a$ for all $a$, hence ${\log}_{a} \left(a\right) = 1$. Hence,
${\log}_{2} \left(2\right) = 1$ as ${2}^{1} = 2$