How do you write #3lna - 6lnb# as a single logarithm? Precalculus Properties of Logarithmic Functions Natural Logs 1 Answer iceman Sep 1, 2015 #3 ln(a) - 6 ln(b) = ln[(a^3)/(b^6)]# Explanation: #3 ln(a) - 6 ln(b) =># use law of logs : #log(m^n) = n log(m):# #= ln(a^3) - ln(b^6) =># use: #log(m) - log(n) = log(m/n):# #= ln[(a^3)/(b^6)]# Answer link Related questions What is the natural log of e? What is the natural log of 2? How do I do natural logs on a TI-83? How do I find the natural log of a fraction? What is the natural log of 1? What is the natural log of infinity? Can I find the natural log of a negative number? How do I find a natural log without a calculator? How do I find the natural log of a given number by using a calculator? How do I do natural logs on a TI-84? See all questions in Natural Logs Impact of this question 2047 views around the world You can reuse this answer Creative Commons License