How do you evaluate log_(1/2) (9/4)? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer bp Oct 6, 2015 log(9/4) / log (1/2) Explanation: Let x= log_(1/2) (9/4) Then it is (1/2)^x = 9/4 Taking log on both sides x= log(9/4) / log (1/2). This can be evaluated in decimals if required. 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 1650 views around the world You can reuse this answer Creative Commons License