How do you solve #log_2(x+2) - log_2x = 3#? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer A. S. Adikesavan Mar 31, 2016 #x = 2/7# Explanation: Using log a - log b = #log(a/b)#, #log_2((x+2)/x) = 3# Inversely, #((x+2)/x)=2^3=8# 7x = 2. 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 1287 views around the world You can reuse this answer Creative Commons License