# What is Log Base 2 of 20?

## How to Find log_{2}(20)? - Work with Steps

The below is the work with steps to find what is log base 2 of 20 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` = 20

`b` = 2

__Solution:__

y = log_{2} 20

= log(2 x 2 x 5)

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

= 1 + 1 + 2.3219

= 4.3219

log_{2}(20) = 4.3219

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