How do you solve 2^(x+4) = 3^(x-1)? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer sankarankalyanam Jun 22, 2018 x = 9.5414 Explanation: 2 ^(x+4) = 3 ^ (x-1) =>(x + 4) log 2 = (x-1) log 3 => (x+4) * 0.301 = (x-1) * 0.4772 x (0.4772 - 0.301) = (4 * 0.301 + 0.4772) 0.1762 x = 1.6812 x = 1.6812 / 0.1762 = 9.5414 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 1794 views around the world You can reuse this answer Creative Commons License