What is the value of x for which #ln(2x-5)-lnx=1/4#? Precalculus Properties of Logarithmic Functions Natural Logs 1 Answer Somebody N. Dec 4, 2017 #x=5/(2-e^(1/4))~~6.9835# Explanation: #ln(2x-5)-lnx=1/4# #lna-lnb=ln(a/b)# #ln((2x-5)/x)=1/4# Taking antilogarithm: #e^ln((2x-5)/x)=e^(1/4)# #(2x-5)/x=e^(1/4)# #(2x-5)=xe^(1/4)# #2x-xe^(1/4)=5# #x(2-e^(1/4))=5# #x=5/(2-e^(1/4))~~6.9835# 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 2575 views around the world You can reuse this answer Creative Commons License