How do you solve the equation log3(x+5)−log3(x−7)=2? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Gió Feb 17, 2015 You can use the following facts: logaM−logaN=log(MN) and: logab=x⇒ax=b So you get: log3(x+5)−log3(x−7)=2 log3(x+5x−7)=2 x+5x−7=32 x+5=9(x−7) x−9x=−63−5 −8x=−68 x=688=172 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 6998 views around the world You can reuse this answer Creative Commons License