What is Log Base 5 of 40?

The below is the work with steps to find what is log base 5 of 40 shows how the input values are being used in the log base 5 functions. Formula:
log_b(x) = y, if b^y = x

Input:
x = 40
b = 5

Solution:
y = log₅ 40
= log(5 x 2 x 2 x 2)
= log₅(5) + log₅(2) + log₅(2) + log₅(2)
= 1 + 0.4307 + 0.4307 + 0.4307
= 2.2921
log₅(40) = 2.2921