How do you write #5^-3 = 1/125# in log form? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer A. S. Adikesavan May 8, 2016 #log 10^(5^(-3))=ln e^(5^(-3))=log_b b^(5^(-3))# Explanation: Use #log_b b^n=n log_b b=n(1)=n# Here, #n=5^(-3)# and b is at your choice... 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 1820 views around the world You can reuse this answer Creative Commons License