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Infinite Factorials

Number Theory Level 1

\[ \LARGE { x! }^{ { x! }^{ { x! }^{ { }^{.^{.^{.}}} } } } =\ 1 \]

Given that \(x\, (>0)\) satisfies the infinitely nested function above, find \(x\).

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Excel in math and science

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by Lee Care Gene

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