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If the 6th term in the expansion of(1/(x...

If the 6th term in the expansion of`(1/(x^(8/3))+x^2(log)_(10)x)^8` is 5600, then `x` equals `1` b. `(log)_e 10` c. `10` d. `x` does not exist

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Knowledge Check

  • If the 6^(th) term in the expansion of ((1)/(x^(6//3))+x^(2)log_(10)+x)^(8) is 5600, then the value of x is

    A
    2
    B
    `sqrt(5)`
    C
    `sqrt(10)`
    D
    10
  • The third term in the expansion of ((1)/(x)+x^(log_(10)x))^(5), x gt 1 is 1000, then x equals

    A
    100
    B
    10
    C
    1
    D
    `1//sqrt(10)`
  • The 6th term of expansion of (x-1/x)^(10) is

    A
    `.^(10)c_(6)x^(6)`
    B
    `.^(10)c_(5)`
    C
    `(-(10)c_(5))`
    D
    `(-^(10)c_(6)x^(6))`
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