# What is Log Base 4 of 64?

## How to Find log_{4}(64)? - Work with Steps

The below is the work with steps to find what is log base 4 of 64 shows how the input values are being used in the log base 4 functions.
__Formula:__

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

__Input:__

`x` = 64

`b` = 4

__Solution:__

y = log_{4} 64

= log_{4} 4^{3}

= 3 log_{4} 4 = 3 x 1

log_{4} 64 = 3

log_{4}(64) = 3