Question

How to find the inverse of y = log(4)x^2

Answer 1

x = 2log4 y

log4 y = (x/2)
4^log4 y = 4^(x/2)

y = 4^.5x

Answer 2

So I have to simplify and then get the exponential?

Answer 3

4^.5x = (4^.5)^x = 2^x

This is easy to see, since log_4(x^2) = 2log_4(x) = log_2(x)

Answer 4

Thanks to both!