Determine an $n$ so that the trapezoidal rule will approximate the integral $$\int_{5}^{8} \frac{8 \, dx}{9 + x}$$ with an error $E_{n}$ satisfying $|E_{n}| \le 0.0004$.

The theoretical error bound for the Trapezoid rule is given by $$E_{n}= -\dfrac{(b-a)^{3}}{12 n^{2}} f''(c)$$ where $c$ is some point between $a$ and $b$. It predicts that the desired accuracy will be achieved if the number of terms $n$ is at least .