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$D o m a i n o f \log_{3} {\log_{2} (x - 3)} i s$

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$(4, \infty)$

$(2, \infty)$

$(3, \infty)$

$ϕ$

answer is A.

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Detailed Solution

$\begin{array}{l} f (x) = \log_{3} {\log_{2} (x - 3)} i s d e f i n e d \\ i f f \log_{2} (x - 3) > 0 \\ \Rightarrow x - 3 > 2^{0} \\ \Rightarrow x - 3 > 1 \\ \Rightarrow x > 4 \\ ∴ x \in (4, \infty) \end{array}$

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