I've programmed an algorithm to numerically compute the logarithm of numbers in phinary base easily. I could avoid float multiplications if I can find a pair of rational numbers x and y such that(adsbygoogle = window.adsbygoogle || []).push({});

[tex]x^{\sqrt{5}}=y[/tex]

Is it possible?

Probably not, but I cannot prove it :(

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# Rational ^ sqrt(5) = rational ?

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