# What is Log Base 5 of 3125?

## How to Find log_{5}(3125)? - Work with Steps

The below is the work with steps to find what is log base 5 of 3125 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` = 3125

`b` = 5

__Solution:__

y = log_{5} 3125

= log_{5} 5^{5}

= 5 log_{5} 5 = 5 x 1

log_{5} 3125 = 5

log_{5}(3125) = 5