# How do you evaluate log_6 6?

Sep 18, 2016

${\log}_{6} 6 = 1$

#### Explanation:

A log written in this form is asking the question..

"What index/power of 6 will make 6?"
OR

"To what power must I raise 6 to get 6?"

6^? = 6

${\log}_{6} 6 = 1$
This is one of the laws of logs... ${\log}_{x} x = 1$