# What is Log Base 4 of 36?

## How to Find log_{4}(36)? - Work with Steps

The below is the work with steps to find what is log base 4 of 36 shows how the input values are being used in the log base 4 functions.
__Formula:__

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

__Input:__

`x` = 36

`b` = 4

__Solution:__

y = log_{4} 36

= log(4 x 3 x 3)

= log_{4}(4) + log_{4}(3) + log_{4}(3)

= 1 + 0.7925 + 0.7925

= 2.585

log_{4}(36) = 2.585