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 

ALL THE BEST.