if x^x^3 =3 find x


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Question Number 128508 by Lian last updated on 08/Jan/21

$i f x^{x^{3}} = 3$ $f i n d x$
	Answered by mr W last updated on 08/Jan/21

	$i f x^{3} = 3, x^{x^{3}} = x^{3} = 3$ $t h a t m e a n s x^{x^{3}} = 3 \Leftrightarrow x^{3} = 3$ $\Rightarrow x = \sqrt[3]{3}$ $g e n e r a l l y f o r a n y n u m b e r o f t i m e s x$ $x^{x^{. . . . . . x^{a}}} = a > 0 \Rightarrow x = \sqrt[a]{a}$
	Commented by Lian last updated on 08/Jan/21

	$n i c e$
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