# What is Log Base 9 of 6561?

## How to Find log_{9}(6561)? - Work with Steps

The below is the work with steps to find what is log base 9 of 6561 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` = 6561

`b` = 9

__Solution:__

y = log_{9} 6561

= log_{9} 9^{4}

= 4 log_{9} 9 = 4 x 1

log_{9} 6561 = 4

log_{9}(6561) = 4