# What is Log Base 6 of 54?

## How to Find log_{6}(54)? - Work with Steps

The below is the work with steps to find what is log base 6 of 54 shows how the input values are being used in the log base 6 functions.
__Formula:__

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

__Input:__

`x` = 54

`b` = 6

__Solution:__

y = log_{6} 54

= log(6 x 3 x 3)

= log_{6}(6) + log_{6}(3) + log_{6}(3)

= 1 + 0.6131 + 0.6131

= 2.2262

log_{6}(54) = 2.2262