# JOMO 7, Long 1

Find with proof, all integer values of $$k$$ such that $$2^k=k^2$$

3 years, 10 months ago

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

- 3 years, 10 months ago

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

- 3 years, 10 months ago

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

- 3 years, 10 months ago

2, 4 are the integers req.

- 2 years, 2 months ago

2.4

- 3 years, 10 months ago

Can you prove it?

- 3 years, 2 months ago