Question #7cc9a Precalculus Properties of Logarithmic Functions Natural Logs 1 Answer sente Feb 7, 2017 #x=3# Explanation: #2ln(x-2) - ln(2x-5) = 0# #=> ln((x-2)^2) - ln(2x-5) = 0# #=> ln((x-2)^2) = ln(2x-5)# #=> e^ln((x-2)^2) = e^ln(2x-5)# #=> (x-2)^2 = 2x-5# #=> x^2-4x+4 = 2x-5# #=> x^2 - 6x + 9 = 0# #=> (x-3)^2 = 0# #:.x=3# 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 1433 views around the world You can reuse this answer Creative Commons License