# What is Log Base 8 of 64?

## How to Find log_{8}(64)? - Work with Steps

The below is the work with steps to find what is log base 8 of 64 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` = 64

`b` = 8

__Solution:__

y = log_{8} 64

= log_{8} 8^{2}

= 2 log_{8} 8 = 2 x 1

log_{8} 64 = 2

log_{8}(64) = 2