SOLUTION: Solve for x e^2x-1=(e^-3x)^-2/e^2x The answer is -1/2. I need to see how it is solved please!

Algebra ->  Exponents -> SOLUTION: Solve for x e^2x-1=(e^-3x)^-2/e^2x The answer is -1/2. I need to see how it is solved please!      Log On


   

Question 867035: Solve for x
e^2x-1=(e^-3x)^-2/e^2x The answer is -1/2.
I need to see how it is solved please!
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
e%5E%282x-1%29+=+%28e%5E%28-3x%29%29%5E%28-2%29%2Fe%5E%282x%29
e%5E%282x-1%29+=+e%5E%286x%29%2Fe%5E%282x%29
e%5E%282x-1%29+=+e%5E%284x%29
2x - 1 = 4x
-1 = 2x
-1/2 = x