# What is Log Base 2 of 14?

## How to Find log_{2}(14)? - Work with Steps

The below is the work with steps to find what is log base 2 of 14 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` = 14

`b` = 2

__Solution:__

y = log_{2} 14

= log(2 x 7)

= log_{2}(2) + log_{2}(7)

= 1 + 2.8074

= 3.8074

log_{2}(14) = 3.8074