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If the 6th term in the expansion of [1/...

If the 6th term in the expansion of `[1/x^(8/3)+x^2 log_10 x]^8` is 5600, then x =

A

2

B

`sqrt5`

C

`sqrt(10)`

D

10

Text Solution

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The correct Answer is:
D
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If the 6 th 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
  • If the third term in the expansion of [x+x^(log_(10))x]^5 is 10^6 , then x may be

    A
    1
    B
    `sqrt(10)`
    C
    10
    D
    `10^(-2//5)`
  • If the third term in the expansion of [x+x^(log_(10)x)]^(5) is 10^(6) , then x may be

    A
    1
    B
    10
    C
    `10^(-5//2)`
    D
    `10^(2)`
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