# What is Log Base 5 of 55?

## How to Find log_{5}(55)? - Work with Steps

The below is the work with steps to find what is log base 5 of 55 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` = 55

`b` = 5

__Solution:__

y = log_{5} 55

= log(5 x 11)

= log_{5}(5) + log_{5}(11)

= 1 + 1.4899

= 2.4899

log_{5}(55) = 2.4899