How do you evaluate log_16 8? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Shwetank Mauria Feb 20, 2017 log_16 8=3/4 Explanation: Let log_16 8=x, then from definition of logarithm, 16^x=8 or (2^4)^x=2^3 or 2^(4x)=2^3 or 4x=3 i.e. x=3/4 Hence log_16 8=3/4 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 8655 views around the world You can reuse this answer Creative Commons License