# What is Log Base 6 of 1296?

## How to Find log_{6}(1296)? - Work with Steps

The below is the work with steps to find what is log base 6 of 1296 shows how the input values are being used in the log base 6 functions.
__Formula:__

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

__Input:__

`x` = 1296

`b` = 6

__Solution:__

y = log_{6} 1296

= log_{6} 6^{4}

= 4 log_{6} 6 = 4 x 1

log_{6} 1296 = 4

log_{6}(1296) = 4