What is Log Base 8 of 512?

The below is the work with steps to find what is log base 8 of 512 shows how the input values are being used in the log base 8 functions. Formula:
log_b(x) = y, if b^y = x

Input:
x = 512
b = 8

Solution:
y = log₈ 512
= log₈ 8³
= 3 log₈ 8 = 3 x 1
log₈ 512 = 3
log₈(512) = 3