# What is Log Base 3 of 27?

## How to Find log_{3}(27)? - Work with Steps

The below is the work with steps to find what is log base 3 of 27 shows how the input values are being used in the log base 3 functions.
__Formula:__

log_{b}(x) = y, if b^{y} = x

__Input:__

`x` = 27

`b` = 3

__Solution:__

y = log_{3} 27

= log_{3} 3^{3}

= 3 log_{3} 3 = 3 x 1

log_{3} 27 = 3

log_{3}(27) = 3