How do you solve (1/2)^(1-x) = 4? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Cesareo R. Jun 22, 2016 x = 3 Explanation: (1/2)^(1-x) = 4=(1/2)^{-2} Then 1-x=-2. Solving for x x = 3 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 1347 views around the world You can reuse this answer Creative Commons License