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## Main Question or Discussion Point

i know this is possible to find with iteration, but is it possible to find it algebraically?

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i know this is possible to find with iteration, but is it possible to find it algebraically?

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tiny-tim

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Nope!i know this is possible to find with iteration, but is it possible to find it algebraically?

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HallsofIvy

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so if x=y^y, then y=?

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HallsofIvy

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so if x=y^y, then y=?

All you have done is swap x and y! If [itex]x= y^y[/itex] then, by the same formula I gave before, y= W(ln(x)).definedas the inverse function to xln(x).

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