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 5359 views around the world You can reuse this answer Creative Commons License