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Question:

If $\log_{5} [\log_{2} (\log_{3} x)] = 1$ then x is

Explanation:

$\log_{5} [\log_{2} (\log_{3} x)] = 1 \Rightarrow \log_{2} (\log_{3} x) = 5 \Rightarrow \log_{3} x = 2^{5} = 32 \Rightarrow 3^{32} = x$

Hence, option (c).

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