Q. The coefficient of $x^{3}$ in the expansion of $3^{x}$ is
A) $\frac{3^{3}}{6}$
B) $\frac{\left( \log 3 \right)^{3}}{3}$
C) $\frac{\log(3)^{3}}{6}$
D) $\frac{\left( \log 3 \right)^{3}}{6}$
Explanation
(d)
The Coefficient of $x^{3}$ in the expansion of $3^{x}$
$= \frac{\left( \log 3 \right)^{3}}{3!} = \frac{\left( \log 3 \right)^{3}}{6}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.