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If the fourth term in the binomial expan...

If the fourth term in the binomial expansion of ` (sqrt (x ^(1/ (1 + log _10x)) ) + x ^((1)/(12)) ) ^ 6 ` is equal to 200 , and ` x gt 1 `, then the value of ` x ` is :

A

` 10 ^ 4 `

B

`10 ^(3) `

C

`100`

D

None of these

Text Solution

AI Generated Solution

To solve the problem, we need to find the value of \( x \) such that the fourth term in the binomial expansion of \[ \left( \sqrt{x^{\frac{1}{1 + \log_{10} x}}} + x^{\frac{1}{12}} \right)^6 \] is equal to 200. ...
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