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Math Help - One math puzzle

  1. #1
    Member Vinod's Avatar
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    One math puzzle

    Hi Members,
    Can you write any integer with the help of three 2's and any algebraic or transcendental function used in mathematics ?
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  2. #2
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    Re: One math puzzle

    Hello, Vinod!

    Can you write any integer with the help of three 2's
    and any algebraic or transcendental function?

    I can express any nonnegative integer . . .

    n \;=\;-\log_2\left[\log_2\left(\underbrace{\sqrt{\sqrt{\sqrt{ \cdots\sqrt{2}}}}}_{n\text{ radicals}} \right)\right]
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