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If the 3rd term in the expansion of (1/x...

If the 3rd term in the expansion of `(1/x+x^(log_(10)x))^5` is 1000, then find x.

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PATHFINDER-BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION-QUESTION BANK
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  12. Determine the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^n.

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  13. Determine the x-free term in (sqrtx-sqrtc/sqrtx)^10.

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