How do you evaluate #log_8 4#? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer GiĆ³ May 10, 2015 Consider that: #log_a(b)=x ->a^x=b# in your case: #log_8(4)=x# So: #8^x=4# that can be written as: #(2^3)^x=2^2# #2^(3x)=2^2# so that: #3x=2# and #x=2/3# 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 4813 views around the world You can reuse this answer Creative Commons License