How do you find the inverse of the function #y=log(x-2)#? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Noah G Nov 19, 2016 #f^-1(x) = 10^x + 2# Explanation: Switch the #x# and #y# values and solve for #y#. #y = log(x- 2)# #x = log(y - 2)# #10^x = y- 2# #y = 10^x + 2# Hopefully this helps! Answer link Related questions What is a logarithm? What are common mistakes students make with logarithms? How can a logarithmic equation be solved by graphing? How can I calculate a logarithm without a calculator? How can logarithms be used to solve exponential equations? How do logarithmic functions work? What is the logarithm of a negative number? What is the logarithm of zero? How do I find the logarithm #log_(1/4) 1/64#? How do I find the logarithm #log_(2/3)(8/27)#? See all questions in Logarithm-- Inverse of an Exponential Function Impact of this question 6078 views around the world You can reuse this answer Creative Commons License