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The constant term in the expansion of ...

The constant term in the expansion of
`(log(x^(logx))-log_(x^(2))100)^(12)` is (base of log is 10) `"_____"`.

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Verified by Experts

The correct Answer is:
495
`(log(x^(logx))-log_(x^(2))100)^(12)`
`= ((logx)^(2)-(1)/(logx))^(12)`
`:.` Constant term `= .^(12)C_(4)((logx)^(2))^(4)(-(1)/(logx))^(8)`
`= .^(12)C_(4)`
`= (12xx11xx10xx9)/(24)`
`=55xx9=495`
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CENGAGE PUBLICATION-BINOMIAL THEOREM-Numerical
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