# What is Log Base 8 of 48?

## How to Find log_{8}(48)? - Work with Steps

The below is the work with steps to find what is log base 8 of 48 shows how the input values are being used in the log base 8 functions.
__Formula:__

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

__Input:__

`x` = 48

`b` = 8

__Solution:__

y = log_{8} 48

= log(8 x 2 x 3)

= log_{8}(8) + log_{8}(2) + log_{8}(3)

= 1 + 0.3333 + 0.5283

= 1.8616

log_{8}(48) = 1.8616