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February 10th, 2014, 11:57 AM   #1
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Solutions for 2^(-a)+2^(-b)=1

Equation



has solution .

Are there other solutions when and shall be rational?

My guess is no but I don't know how to prove it.
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February 10th, 2014, 01:58 PM   #2
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Re: Solutions for 2^(-a)+2^(-b)=1

Perhaps of interest:



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