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Hello Avinash,
Yes, there is ambiguity in binomial theorem question as NTA ( also Allen ) give 10 as Answer by considering Q. as 'x' raised to the power (1/1+log x).
But In the question paper, Q. looks like 1 / ('x' raised to power 1+log x ) and on solving the question this way, no option is matching.
So, it is a problem in Question displaying.
Hence, this question should be a BONUS
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