(a)[5]
Show that the $x$-coordinate of $M$ is given by the equation $x = \frac{1}{3}\ln 5 - \frac{1}{3}\ln(1 + 2x)$.
(b)[3]
Use iteration, based on the equation in part (a), to determine the $x$-coordinate of $M$ correct to 3 significant figures. Begin with an initial value of $0.35$ and state the result of each iteration to 5 significant figures.