# What is Log Base 2 of 86?

## How to Find log_{2}(86)? - Work with Steps

The below is the work with steps to find what is log base 2 of 86 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` = 86

`b` = 2

__Solution:__

y = log_{2} 86

= log(2 x 43)

= log_{2}(2) + log_{2}(43)

= 1 + 5.4263

= 6.4263

log_{2}(86) = 6.4263