# What is Log Base 5 of 10?

## How to Find log_{5}(10)? - Work with Steps

The below is the work with steps to find what is log base 5 of 10 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` = 10

`b` = 5

__Solution:__

y = log_{5} 10

= log(5 x 2)

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

= 1 + 0.4307

= 1.4307

log_{5}(10) = 1.4307