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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

A

1

B

`log_(e )10`

C

10

D

x does not exist

Text Solution

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The correct Answer is:
c
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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
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    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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