How do you solve 25^(2x+1) =144? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer A. S. Adikesavan Apr 27, 2016 x=(log 144/log 25 - 1)/2=(log 12/log 5 - 1)/2. Explanation: Equate logarithms. (2x+1)log 25=log 144. (2x+1)=log 144/log 25. x=(log 144/log 25 - 1)/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 3523 views around the world You can reuse this answer Creative Commons License