SOLUTION: Solve the exponential equation using the uniqueness property. (1/8)^2x-5 = 64^3x+2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve the exponential equation using the uniqueness property. (1/8)^2x-5 = 64^3x+2      Log On


   



Question 149403: Solve the exponential equation using the uniqueness property.
(1/8)^2x-5 = 64^3x+2

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the exponential equation using the uniqueness property.
(1/8)^2x-5 = 64^3x+2
(2^-3)^(2x-5) = (2^6)^(3x+2)
-6x+15 = 18x+12
24x = 3
x = 1/8
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Cheers,
Stan H.