How do you evaluate the expression #log_4(16^x)#? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Aditya Banerjee. Nov 10, 2016 #log_4(16^x)=2x.# Explanation: #log_4(16^x)# #=x*log_4(16)# #=x*log 16/log4# #=x*log4^2/log4=2x*log4/log4=2x*1=2x.# (answer). 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 1657 views around the world You can reuse this answer Creative Commons License