# What is Log Base 7 of 28?

## How to Find log_{7}(28)? - Work with Steps

The below is the work with steps to find what is log base 7 of 28 shows how the input values are being used in the log base 7 functions.
__Formula:__

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

__Input:__

`x` = 28

`b` = 7

__Solution:__

y = log_{7} 28

= log(7 x 2 x 2)

= log_{7}(7) + log_{7}(2) + log_{7}(2)

= 1 + 0.3562 + 0.3562

= 1.7124

log_{7}(28) = 1.7124