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JEE MATHEMATICS MCQ: FUNCTIONS

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The domain of f(x)=log⁡∣log⁡ex∣,f\left( x \right) = \log \left| {{{\log }_e}x} \right|, is
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Correct option: C
(0,1)∪(1,∞)\left( {0,1} \right) \cup \left( {1,\infty } \right)
Option C ((0,1)∪(1,∞)\left( {0,1} \right) \cup \left( {1,\infty } \right)) is correct because the argument of the outer logarithm must be positive, and the argument of the inner logarithm must also be positive and not equal to 1.

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