How do you solve #ln e^ln x - ln(x-2) = ln 8#? Precalculus Properties of Logarithmic Functions Natural Logs 1 Answer P dilip_k Jun 18, 2016 #x=16/7# Explanation: #ln e^ln x - ln(x-2) = ln 8# #=>ln x - ln(x-2) = ln 8# #=>ln (x/(x-2) )= ln 8# #=> (x/(x-2) )= 8# #=>8x-16=x# #=>7x=16=>x=16/7# 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 3021 views around the world You can reuse this answer Creative Commons License