How do you change 4^-3 = 1/64 into log form? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Shwetank Mauria Jul 27, 2016 log_4(1/64)=-3 Explanation: As a^n=b in logarithmic form is written as log_ab=n Hence, 4^(-3)=1/64 can be written as log_4(1/64)=-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 7492 views around the world You can reuse this answer Creative Commons License