SOLUTION: if 9^x = 3^(x-1) / 2^(x+1), find x.

Algebra ->  Equations -> SOLUTION: if 9^x = 3^(x-1) / 2^(x+1), find x.      Log On


   

Question 1134207: if 9^x = 3^(x-1) / 2^(x+1), find x.
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
if  9^x = 3^(x-1) / 2^(x+1),    then


3%5E%282x-%28x-1%29%29 = 2%5E%28-%28x%2B1%29%29,   or, equivalently,


3%5E%28x%2B1%29 = 2%5E%28-%28x%2B1%29%29,        or, equivalently


3%5E%28x%2B1%29.2%5E%28x%2B1%29 = 1,         or, equivalently


6%5E%28x%2B1%29 = 1,


which implies   


x + 1 = 0,    or  x= -1.      ANSWER.