How do you evaluate #log_6 (2)#? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer A. S. Adikesavan May 20, 2016 #log 2/log 6=ln 2/ln 6=0.386853#, nearly. Explanation: Use #log_b a=log_c a/log_c b= log a/log b=ln a/ln b#. Here, a = 2 and b = 6. So, #log_6 2=log 2/log 6=ln 2/ln 6=0.386853#, nearly. 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 5575 views around the world You can reuse this answer Creative Commons License