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Algebra Level 3

\[ \large f(x) = \log_2 \log_3 \log_4 x \]

Find the domain of the function above.

\[ (1,\infty ) \] \[ (0,\infty ) \] \[ [4,\infty] \] \[ [4,\infty ) \] \[ [0,\infty ) \] \[ (4,\infty ) \] \[ [1,\infty ) \]

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