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The coefficient of x^(3) in the expansi...

The coefficient of `x^(3)` in the expansion of `3^(x)` is

A

`(3^(3))/6`

B

`(log3)^(3)/3`

C

`(log(3)^(3))/6`

D

` ((log3)^(3))/6`

Text Solution

Verified by Experts

The correct Answer is:
d
The coefficient of `x^(3)` in the expansion of `(3^(x))`
`= (log3)^(3)/(3!) = (log3)^(3)/6 " " [ :' 3^(x) = e^(x log_(e)3)]`
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Knowledge Check

  • The coefficient of x^(5) in the expansion of (x +3)^(6) ,is

    A
    18
    B
    6
    C
    12
    D
    10

  • The coefficient of x in the expansion of (x+3)^(3) is

    A
    1
    B
    9
    C
    18
    D
    27

  • Consider the expansion of ( 1+ x)^(2n+1) The coefficient of x^(99) in the expansion of (x-1) ( x-2) (x -3)"….." (x-100) is

    A
    5050
    B
    5000
    C
    `-5050`
    D
    `-5000`
    • MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-SEQUENCES AND SERIES -EXERCISE 31
    1. The coefficient of x^(3) in the expansion of 3^(x) is

      Text Solution

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