# What is Log Base 4 of 16?

## How to Find log_{4}(16)? - Work with Steps

The below is the work with steps to find what is log base 4 of 16 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` = 16

`b` = 4

__Solution:__

y = log_{4} 16

= log_{4} 4^{2}

= 2 log_{4} 4 = 2 x 1

log_{4} 16 = 2

log_{4}(16) = 2