SOLUTION: Exponential equation without logs. Solve for x: (4/5)^(-4x+5)= 64/125

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Question 106647: Exponential equation without logs. Solve for x:
(4/5)^(-4x+5)= 64/125
Answer by stanbon(48569) About Me  (Show Source):
You can put this solution on YOUR website!
Exponential equation without logs. Solve for x:
(4/5)^(-4x+5)= 64/125
(4/5)^(-4x+5) = (4/5)^3
Since the bases are the same the exponents are equal:
-4x+5 = 3
-4x = -2
x = 1/2
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Cheers,
Stan H.