# What is Log Base 5 of 80?

## How to Find log_{5}(80)? - Work with Steps

The below is the work with steps to find what is log base 5 of 80 shows how the input values are being used in the log base 5 functions.
__Formula:__

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

__Input:__

`x` = 80

`b` = 5

__Solution:__

y = log_{5} 80

= log(5 x 2 x 2 x 2 x 2)

= log_{5}(5) + log_{5}(2) + log_{5}(2) + log_{5}(2) + log_{5}(2)

= 1 + 0.4307 + 0.4307 + 0.4307 + 0.4307

= 2.7228

log_{5}(80) = 2.7228