Can You Find The Easy Answer? Learn The Brilliant Trick!

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MindYourDecisions
Published at : 02 Jan 2021
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Thanks to Ben Craft for sending me this problem and its solution! Find a value of x such that (3 + 4)(3^2 + 4^2)(3^4 + 4^4)(3^8 + 4^8)(3^16 + 4^16)(3^32 + 4^32) = 4^x - 3^x. There's a really neat trick that simplifies the problem like magic! Thanks to Nar235 and Jonathan Love for finding a mistake in the wording! The earlier problem was solve for 4^x - 3^y, but that has infinitely many solutions.

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