How do you solve 3^(x-1)=27? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Alan P. Dec 30, 2016 color(green)(x=4) Explanation: Note that 3^3=3xx3xx3=27 So if 3^(x-1)=27 then color(white)("XXX") x-1=3 which implies x=4# 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 5344 views around the world You can reuse this answer Creative Commons License