How do you write the equation #7^-2=1/49# in logarithmic form? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Jesnine E. May 10, 2018 #log_7(1/49)=-2# Explanation: If #b^x=y#, then #log_by=x# Therefore, since #7^-2=1/49#, then #log_7(1/49)=-2# 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 4956 views around the world You can reuse this answer Creative Commons License