Question

What is the inverse of `y = log_2(x-10)` ?

Answer 1

`f^-1(x) = 2^x + 10`

Explanation:

To find the inverse , change the subject of the formula to x .

ie `log_2 (x - 10 ) = y`

using :`log_b a = n rArr a = b^n`

then : `(x - 10 ) = 2^y rArr x = 2^y + 10`