# Math Help - Maclaurin series

1. ## Maclaurin series

I am 100% sure but just to make sure...I was just messing around and I just wondered if this is right $3^{x}=\sum_{n=0}^{\infty}\frac{[\ln(3)]^{n}x^n}{n!},\forall{x}\in\mathbb{R}$ right?

2. Originally Posted by Mathstud28
I am 100% sure but just to make sure...I was just messing around and I just wondered if this is right $3^{x}=\sum_{n=0}^{\infty}\frac{[\ln(3)]^{n}x^n}{n!},\forall{x}\in\mathbb{R}$ right?

$3^x=e^{x \ln(3)}$, so trivialy yes.

RonL