Binary Kelly and its growth rate

(a) Derive $f^* = p - q/b$ by maximising $g(f) = p\ln(1+bf) + q\ln(1-f)$, and derive the closed form (3.6) for $g(f^*)$. (b) Compute $f^*$ and $g(f^*)$ for (i) $p = 0.6$, $b = 1$; (ii) $p = 0.3$, $b = 3$. Which bet would you rather be offered repeatedly, and why is "the bigger edge per unit staked" not the right criterion?