SOLUTION: Solve this equation. 2^-x=1/16

Algebra.Com
Question 627151: Solve this equation.
2^-x=1/16

Found 3 solutions by jim_thompson5910, reviewermath, stanbon:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation


Rewrite as


Since the bases are equal (to 2), the exponents must be equal.


So which means that is the answer

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Answer by reviewermath(1029)   (Show Source): You can put this solution on YOUR website!





Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
2^-x = 2^-4
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-x = -4
X = 4
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Cheers,
Stan H.

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