How do you simplify #log_4(16^x)#? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer George C. Jul 30, 2016 #log_4(16^x) = 2x# Explanation: #log_4(16^x) = log_4((4^2)^x) = log_4(4^(2x)) = 2x# 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 5024 views around the world You can reuse this answer Creative Commons License