How do you solve 7^(3x+1) = 270? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer mason m Dec 13, 2015 x=(log_7 270-1)/3 Explanation: Take the log_7 of both sides. log_7(7^(3x+1))=log_7 270 3x+1=log_7 270 3x=Log_7 270-1 x=(log_7 270-1)/3 x~~0.626 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 1533 views around the world You can reuse this answer Creative Commons License