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JOMO 7, Long 1

Find with proof, all integer values of \(k\) such that \(2^k=k^2\)

Note by Aditya Raut
3 years, 3 months ago

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When k>4, \(2^k>k^2\) by an easy induction.That leaves k=0,2.,4

Bogdan Simeonov - 3 years, 3 months ago

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Wrong. Giving "0" will give you "0" marks too :P \(2^0 =1 , 0^2=0\) and \(1\neq 0\)

Aditya Raut - 3 years, 3 months ago

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Eh, sorry for that lol.Doesnt matter because it's the same solution

Bogdan Simeonov - 3 years, 3 months ago

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2, 4 are the integers req.

Rishabh Tiwari - 1 year, 7 months ago

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2.4

Manar Mohamed - 3 years, 3 months ago

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Can you prove it?

Colin Carmody - 2 years, 7 months ago

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