A nice mathematics problem |Olympiad question|lambert w function

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A nice mathematics problem |Olympiad question|lambert w function
#algebra #exponents #olympiad #maths
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That's a lot of derivation, you can just notice that 4 is a solution by trial and error and because 3^x+x is monotonic that's the only solution

martincochet
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How do you derive 3^4 and 3^81 as the factors you need to split 3^85 into?

flashg