What is Log Base 2 of 48?

The below is the work with steps to find what is log base 2 of 48 shows how the input values are being used in the log base 2 functions. Formula:
log_b(x) = y, if b^y = x

Input:
x = 48
b = 2

Solution:
y = log₂ 48
= log(2 x 2 x 2 x 2 x 3)
= log₂(2) + log₂(2) + log₂(2) + log₂(2) + log₂(3)
= 1 + 1 + 1 + 1 + 1.585
= 5.585
log₂(48) = 5.585