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If the third term in the expansion of (x...

If the third term in the expansion of `(x + x log_10 x)^5` is `10^6` then x is

A

1

B

10

C

`10^2`

D

`10^3`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The third term in the expansion of (1/x + x ^[log_10 x])^5 is 10^6 then x =

    A
    `10^(-1)`
    B
    10
    C
    `10^2`
    D
    `10^3`

  • If the third term in the expansion of ((1)/(x)+x^(log_10 x) x)^5 is 1000, then x=

    A
    100
    B
    10
    C
    1
    D
    `1//sqrt10`

  • The 6^(th) term in the expansion of 5^x is

    A
    `x^5/(5!)`
    B
    `x^4/(4!)`
    C
    `(x^5)/(5!) (log _e 5)^5`
    D
    `(x^5)/(5) (log _e 5)^5`

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