# What is Log Base 2 of 8192?

## How to Find log_{2}(8192)? - Work with Steps

The below is the work with steps to find what is log base 2 of 8192 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` = 8192

`b` = 2

__Solution:__

y = log_{2} 8192

= log_{2} 2^{13}

= 13 log_{2} 2 = 13 x 1

log_{2} 8192 = 13

log_{2}(8192) = 13