What is the value of x for which ln(2x−5)−lnx=14? Precalculus Properties of Logarithmic Functions Natural Logs 1 Answer Somebody N. Dec 4, 2017 x=52−e14≈6.9835 Explanation: ln(2x−5)−lnx=14 lna−lnb=ln(ab) ln(2x−5x)=14 Taking antilogarithm: eln(2x−5x)=e14 2x−5x=e14 (2x−5)=xe14 2x−xe14=5 x(2−e14)=5 x=52−e14≈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 2745 views around the world You can reuse this answer Creative Commons License