Home
Class 12
MATHS
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)]`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 30|1 Videos

  • PROBABILITY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|4 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 2 (MISCELLANEOUS PROBLEMS)|30 Videos

Similar Questions

Explore conceptually related problems

The coefficient of x^(n) in the expansion of e^(2x+3) is

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

The coefficient of x^3 in the expansion of 3/((1+3x)^3)i s

The coefficient of x^(3) in the expansion of (3-2x)/((1+3x)^(3)) is

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

The coefficient of x in the expansion of (2x+3)^(5) is __________

Show that coefficient of x^(-3) in the expansion of (x-1/x)^(11) is -330 .

the coefficient of x in the expansion of (3x+2)^(2) is

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

    |