How do you solve log_(x-2) (9) =2? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer ali ergin May 6, 2016 x=5 Explanation: log_(x-2) 9=2 log_a b=c" "a^c=b 9=(x-2)^2 3^2=(x-2)^2 3=x-2 x=3+2 x=5 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 3005 views around the world You can reuse this answer Creative Commons License