What is Log Base 2 of 512?

The below is the work with steps to find what is log base 2 of 512 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 = 512
b = 2

Solution:
y = log₂ 512
= log₂ 2⁹
= 9 log₂ 2 = 9 x 1
log₂ 512 = 9
log₂(512) = 9