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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If log⁡6{log⁡4(x+4+x)}=0,{\log _6}\left\{ {{{\log }_4}\left( {\sqrt {x + 4} + \sqrt x } \right)} \right\} = 0, then x=x =
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Correct option: D
94\frac{9}{4}
Option D (94\frac{9}{4}) is correct because solving the logarithmic equation by converting it to exponential form and simplifying leads to x = 9/4.

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