How do you solve #log(x+1) = 2 + log x#? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer mason m · Özgür Özer Dec 1, 2015 #x=1/99# Explanation: Know that: #{(loga-logb=log (a/b)),(loga=b<=>a=10^b):}# #log(x+1)=2+logx# #log(x+1)-logx=2# #log((x+1)/x)=2# #(x+1)/x=10^2# #x+1=100x# #x=1/99# 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 1523 views around the world You can reuse this answer Creative Commons License