How do you solve #log(3x+1)=2#? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Shwetank Mauria Aug 21, 2016 #x=33# Explanation: By definition if #loga=b#, we have #10^b=a#, hence #log(3x+1)=2# #hArr(3x+1)=10^2# or #3x+1=100# or #3x=100-1# or #3x=99# or #x=99/3=33# 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 29824 views around the world You can reuse this answer Creative Commons License