How do you solve #log3(x+1) - log5(x-2)=2#? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Shwetank Mauria May 6, 2016 #x=497/1003# Explanation: #log3(x+1)-log5(x-2)=2# or #log(3(x+1))/(5(x-2))=log100# or #(3(x+1))/(5(x-2))=100# or #3x+3=100xx(5x-10)# or #3x+3=500x-1000# or #497x=1003# or #x=497/1003# 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 #9^(x-4)=81#? How do you solve #logx+log(x+15)=2#? How do you solve the equation #2 log4(x + 7)-log4(16) = 2#? How do you solve #2 log x^4 = 16#? How do you solve #2+log_3(2x+5)-log_3x=4#? See all questions in Logarithmic Models Impact of this question 2548 views around the world You can reuse this answer Creative Commons License