How do you write #log 0.001 = -3 # in exponential form? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer A. S. Adikesavan May 10, 2016 #10^(-3)=0.001#. Explanation: In general, #if c=log_b a#, then the inverse relation is #a=b^c#. Here, #c=-3, b=10# (for common logarithm) and #a=0.001#. 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 17113 views around the world You can reuse this answer Creative Commons License