SOLUTION: Solve for x. Keep steps and answer in exact form. (1/27)^x=9^(x-1)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve for x. Keep steps and answer in exact form. (1/27)^x=9^(x-1)       Log On


   

Question 1193283: Solve for x.
Keep steps and answer in exact form.
(1/27)^x=9^(x-1)
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
(1/27)^x=3^2(x-1)
3^(-3x)=3^2(x-1)
-3x=2x-2
5x=2
x=0.4