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Algebra Level 3

Find the positive solution of x x satisfying 2 2 x + 3 2 x = 2 x + 3 x + 1 + x + 1 \large 2^{2^x} + 3^{2^x} = 2^x + 3^{x+1} + x + 1


The answer is 1.

Aly Ahmed by Aly Ahmed , 34, Egypt

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1 solution

Didn't really make work of this: tried x=1 and equation holds. The question should be stated otherwise though. x=0 is a solution too. Question suggests only 1 solution.

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