The Tetra Operation

Tetration is the operation notated as $n\uparrow\uparrow x$ which is equivalent to $\underbrace{\huge n^{n^{n^{.^{.^{.}}}}}}_{\normalsize x \space \text{number of} \space n\text{'s}}$

What is $x$ ?

$\large x\uparrow\uparrow 4 = 24.4281$

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