# What is Log Base 3 of 69?

## How to Find log_{3}(69)? - Work with Steps

The below is the work with steps to find what is log base 3 of 69 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` = 69

`b` = 3

__Solution:__

y = log_{3} 69

= log(3 x 23)

= log_{3}(3) + log_{3}(23)

= 1 + 2.854

= 3.854

log_{3}(69) = 3.854