How do you evaluate log_8 4log84? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Gió May 10, 2015 Consider that: log_a(b)=x ->a^x=bloga(b)=x→ax=b in your case: log_8(4)=xlog8(4)=x So: 8^x=48x=4 that can be written as: (2^3)^x=2^2(23)x=22 2^(3x)=2^223x=22 so that: 3x=23x=2 and x=2/3x=23 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) 1/64log14164? How do I find the logarithm log_(2/3)(8/27)log23(827)? See all questions in Logarithm-- Inverse of an Exponential Function Impact of this question 6423 views around the world You can reuse this answer Creative Commons License