SOLUTION: Trying to solve e to the power of (5x-1)=(e to the power of 3)to the power of x....helping a friend trying to remember the rules of working with powers.

Algebra ->  Exponents -> SOLUTION: Trying to solve e to the power of (5x-1)=(e to the power of 3)to the power of x....helping a friend trying to remember the rules of working with powers.      Log On


   



Question 687988: Trying to solve e to the power of (5x-1)=(e to the power of 3)to the power of x....helping a friend trying to remember the rules of working with powers.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Trying to solve e to the power of (5x-1)=(e to the power of 3)to the power of x.
e^(5x-1)=e^3^x=e^3x
in an equality, when the base(e) is the same, you can equate the exponents
5x-1=3x
2x=1
x=1/2