How do you find the exact value of #3lne^4#? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Roy E. Jan 25, 2017 #12# Explanation: #3ln e^4# #=3 xx 4 xx ln e # (because #log_a x^n=n log_a x#) #=12 xx 1# (because #log_a a = 1#) #=12# 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 5324 views around the world You can reuse this answer Creative Commons License