HMMT 2020 A3

Let $a=256$ . Find the unique real number $x>a^{2}$ such that

$\log _{a} \log _{a} \log _{a} x=\log _{a^{2}} \log _{a^{2}} \log _{a^{2}} x$

Dataset text NuminaMath olympiads. Quoted with source.

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2^{32}

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