How do you convert log_64 4 = 1/3 into exponential form? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Shwetank Mauria Jul 19, 2016 64^(1/3)=4 Explanation: log_ab=n in logarithmic form is written as a^n=b in exponential form. As such log_64(4)=1/3 is written as 64^(1/3)=4 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 2687 views around the world You can reuse this answer Creative Commons License