How do you solve log_5x=1/2? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Rajinder S. Oct 22, 2016 x= sqrt5 Explanation: Basic rules; x = y^z and y > 1 z = log_y x log_5 x= 1/2 x = 5^(1/2) x = sqrt 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 1773 views around the world You can reuse this answer Creative Commons License