How do you write the equation #log_4 32=5/2# into exponential form? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Shwetank Mauria Dec 4, 2016 #4^(5/2)=32# Explanation: An equation #log_m a=b# in exponential form is #m^b=a# Hence #log_4 32=5/2# in exponential form can be written as #4^(5/2)=32# 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 2487 views around the world You can reuse this answer Creative Commons License