# What is Log Base 8 of 96?

## How to Find log_{8}(96)? - Work with Steps

The below is the work with steps to find what is log base 8 of 96 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` = 96

`b` = 8

__Solution:__

y = log_{8} 96

= log(8 x 2 x 2 x 3)

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

= 1 + 0.3333 + 0.3333 + 0.5283

= 2.1949

log_{8}(96) = 2.1949