# What is Log Base 2 of 50?

## How to Find log_{2}(50)? - Work with Steps

The below is the work with steps to find what is log base 2 of 50 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` = 50

`b` = 2

__Solution:__

y = log_{2} 50

= log(2 x 5 x 5)

= log_{2}(2) + log_{2}(5) + log_{2}(5)

= 1 + 2.3219 + 2.3219

= 5.6438

log_{2}(50) = 5.6438