# What is Log Base 3 of 66?

## How to Find log_{3}(66)? - Work with Steps

The below is the work with steps to find what is log base 3 of 66 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` = 66

`b` = 3

__Solution:__

y = log_{3} 66

= log(3 x 2 x 11)

= log_{3}(3) + log_{3}(2) + log_{3}(11)

= 1 + 0.6309 + 2.1827

= 3.8136

log_{3}(66) = 3.8136