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 1197 views around the world You can reuse this answer Creative Commons License