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If the third term in the expansion of `(1/x+""_"x"(log)_(10 x))^5` is `1000 ,` then find `xdot`

Text Solution

Verified by Experts

The correct Answer is:
`x = 10 or 10^(-5//2)`
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If the third term in the expansion of ((1)/(x)+_(x)log_(10x))^(5) is 1000, then find x

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Knowledge Check

  • 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)`

  • 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)`

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