multipication of power series

I was wondering if someone could please check my work because i keep getting this one wrong:

so the function is:

$\displaystyle e^8x ln\left(1 - \frac{x}{3}\right)$

and so far i have

$\displaystyle e^8x = 1 + 8x + \frac{64x^2}{2!} + ...$

$\displaystyle ln\left(1 - \frac{x}{3}\right) = -x - \frac{x^2}{6}

- \frac{x^3}{27} $

and then when i multiple (i only need first 3 nonzero terms) and collect like terms i get:

$\displaystyle = -x - \frac{49x^2}{6} - \frac{37x^3}{27} $