x^x^x =3 x=?


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Question Number 103170 by shaxzod last updated on 13/Jul/20

$x^{x^{x}} = 3 x = ?$
Commented by mr W last updated on 13/Jul/20

$x \approx 1.6351$ $n o f o r m u l a, n o e x a c t s o l u t i o n$ $p o s s i b l e!$
Commented by Dwaipayan Shikari last updated on 13/Jul/20

$I f i t i s x^{x} = 3$ $t h e n s o l u t i o n w i l l b e$ $x l o g x = l o g 3$ ${l o g x e}^{l o g x} = l o g 3$ $l o g x = W_{0} (l o g 3)$ $x = e^{W_{0} (l o g 3)}$ $x = 1.8235 . .$ $B u t n o w i t i s h a r d t o s o l v e x^{x^{x}} = 3$ $U s i n g c a l c u l a t o r i t i s s o l v e a b l e$
Commented by shaxzod last updated on 13/Jul/20

$w h i c h c a l c u l a t o r c a n s o l v e i t ?$
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