# How do you write log_8 64 = 2 in exponential form?

Sep 11, 2015

${8}^{2} = 64$

#### Explanation:

${\log}_{a} b = c$ can be rewritten as ${a}^{c} = b$. This is the exponential form.

So, ${\log}_{8} 64 = 2$ can be rewritten as ${8}^{2} = 64$,

One mnemonic you can use, is that you can read
${\log}_{a} b$
as "the value you raise $a$ to to get $b$."