I need to apply Ito's lemma on $3^{W_t}$, where $W_t$ is a standard brownian motion. I am not sure how to do this
$X_t=3^{W_t}$
So do I take $f(x)=3^x$ and then apply Ito's lemma? So I get something with
$df(W_t)=\frac{\log^2(3)}{2}3^{W_t}dt+\log(3)3^{W_t}dW_t$