# What is Log Base 2 of 78?

## How to Find log_{2}(78)? - Work with Steps

The below is the work with steps to find what is log base 2 of 78 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` = 78

`b` = 2

__Solution:__

y = log_{2} 78

= log(2 x 3 x 13)

= log_{2}(2) + log_{2}(3) + log_{2}(13)

= 1 + 1.585 + 3.7004

= 6.2854

log_{2}(78) = 6.2854