# How do you evaluate log_5 25?

Aug 12, 2016

${\log}_{5} 25 = 2$

#### Explanation:

Written in this form, the question being asked is..

"To what power must 5 be raised to give 25?"

Or, "How can 5 become 25 by raising to a power?"

We know that ${5}^{2} = 25$, so we can say

${\log}_{5} 25 = 2$

We can also change log form into index form:

${\log}_{5} 25 = x$ becomes ${5}^{x} = 25$

So $x = 2$