How do you solve 9^x=3^(x-2)? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Nam D. Apr 3, 2018 x=-2 Explanation: We got: 9^x=3^(x-2) And so: (3^2)^x=3^(x-2) 3^(2x)=3^(x-2) 2x=x-2 2x-x=-2 x=-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 1350 views around the world You can reuse this answer Creative Commons License