How do you simplify #Log (1/10^x)#? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer A. S. Adikesavan Mar 9, 2016 #-x# Explanation: #log (m/n) = log m - log n and log 10^x = x log10#. #log (1/10^x)= log 1 - x log 10# log 1 = 0 and log 10 = 1.. 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 7596 views around the world You can reuse this answer Creative Commons License