# What is Log Base 4 of 20?

## How to Find log_{4}(20)? - Work with Steps

The below is the work with steps to find what is log base 4 of 20 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` = 20

`b` = 4

__Solution:__

y = log_{4} 20

= log(4 x 5)

= log_{4}(4) + log_{4}(5)

= 1 + 1.161

= 2.161

log_{4}(20) = 2.161