How do you evaluate g(x)=log_bx for x=b^-3? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Azimet Jan 18, 2017 g(b^-3) = -3 Explanation: In general, log_a a^n = n, because log_a b is the power a must be raised to, to get b. So, in our case, -3 is the power b needs to be raised, in order to get b^-3. log_b b^-3 = -3. 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 2007 views around the world You can reuse this answer Creative Commons License