# What is Log Base 4 of 48?

## How to Find log_{4}(48)? - Work with Steps

The below is the work with steps to find what is log base 4 of 48 shows how the input values are being used in the log base 4 functions.
__Formula:__

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

__Input:__

`x` = 48

`b` = 4

__Solution:__

y = log_{4} 48

= log(4 x 4 x 3)

= log_{4}(4) + log_{4}(4) + log_{4}(3)

= 1 + 1 + 0.7925

= 2.7925

log_{4}(48) = 2.7925