How do you simplify 9^(log_9x)? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Shwetank Mauria Aug 22, 2016 9^(log_9 x)=x Explanation: Let 9^(log_9 x)=u, then as a^n=b means log_a b=n, we have log_9 u=log_9 x. Hence u=x and 9^(log_9 x)=x 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 2269 views around the world You can reuse this answer Creative Commons License