# What is Log Base 2 of 26?

## How to Find log_{2}(26)? - Work with Steps

The below is the work with steps to find what is log base 2 of 26 shows how the input values are being used in the log base 2 functions.
__Formula:__

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

__Input:__

`x` = 26

`b` = 2

__Solution:__

y = log_{2} 26

= log(2 x 13)

= log_{2}(2) + log_{2}(13)

= 1 + 3.7004

= 4.7004

log_{2}(26) = 4.7004