# What is Log Base 9 of 90?

## How to Find log_{9}(90)? - Work with Steps

The below is the work with steps to find what is log base 9 of 90 shows how the input values are being used in the log base 9 functions.
__Formula:__

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

__Input:__

`x` = 90

`b` = 9

__Solution:__

y = log_{9} 90

= log(9 x 2 x 5)

= log_{9}(9) + log_{9}(2) + log_{9}(5)

= 1 + 0.3155 + 0.7325

= 2.048

log_{9}(90) = 2.048