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

##### 1 Answer

Jan 17, 2016

#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 #