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 2500 views around the world You can reuse this answer Creative Commons License