# What is Log Base 6 of 48?

## How to Find log_{6}(48)? - Work with Steps

The below is the work with steps to find what is log base 6 of 48 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` = 48

`b` = 6

__Solution:__

y = log_{6} 48

= log(6 x 2 x 2 x 2)

= log_{6}(6) + log_{6}(2) + log_{6}(2) + log_{6}(2)

= 1 + 0.3869 + 0.3869 + 0.3869

= 2.1607

log_{6}(48) = 2.1607