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 30754 views around the world You can reuse this answer Creative Commons License