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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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