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

Jan 17, 2016

${f}^{-} 1 \left(x\right) = {2}^{x} + 10$

#### Explanation:

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

ie ${\log}_{2} \left(x - 10\right) = y$

using :${\log}_{b} a = n \Rightarrow a = {b}^{n}$

then : $\left(x - 10\right) = {2}^{y} \Rightarrow x = {2}^{y} + 10$