# What is Log Base 6 of 36?

## How to Find log_{6}(36)? - Work with Steps

The below is the work with steps to find what is log base 6 of 36 shows how the input values are being used in the log base 6 functions.
__Formula:__

log_{b}(x) = y, if b^{y} = x

__Input:__

`x` = 36

`b` = 6

__Solution:__

y = log_{6} 36

= log_{6} 6^{2}

= 2 log_{6} 6 = 2 x 1

log_{6} 36 = 2

log_{6}(36) = 2