How do you solve 3x=2x−1? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Somebody N. Apr 16, 2018 x≈−1.709511290 Explanation: 3x=2x−1 Taking logarithms of both sides: xln(3)=(x−1)ln(2) xln(3)=xln(2)−ln(2) xln(3)−xln(2)=−ln(2) Factor: x(ln(3)−ln(2))=−ln(2) x=−ln(2)ln(3)−ln(2)≈−1.709511290 x≈−1.709511290 Answer link Related questions What is a logarithmic model? How do I use a logarithmic model to solve applications? What is the advantage of a logarithmic model? How does the Richter scale measure magnitude? What is the range of the Richter scale? How do you solve 9x−4=81? How do you solve logx+log(x+15)=2? How do you solve the equation 2log4(x+7)−log4(16)=2? How do you solve 2logx4=16? How do you solve 2+log3(2x+5)−log3x=4? See all questions in Logarithmic Models Impact of this question 1908 views around the world You can reuse this answer Creative Commons License