SOLUTION: Use the like bases property to solve the equation. Solve for x. (1/2)^x+1=2^3x-2

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Question 1148424: Use the like bases property to solve the equation. Solve for x.
(1/2)^x+1=2^3x-2
Answer by ikleyn(52799) About Me  (Show Source):
You can put this solution on YOUR website!
.

You are given  

   %281%2F2%29%5E%28x%2B1%29 = 2%5E%283x-2%29.



From the given equation,


    x+1 = -(3x-2)


    x + 1 = -3x + 2

    x + 3x = 2 - 1

    4x     = 1

     x     = 1%2F4.    ANSWER

Solved.