The following facts may be useful for the homework.
- log x increases monotonically with x. Thus, if you want to choose a value that minimizes some function f(x), it suffices to choose a value that minimizes log f(x). Similarly if you want to choose a value that maximizes f(x), it suffices to choose a value that maximizes log f(x).
- Remember: log (1/2) = -1, log (1/4) = -2. What can you say about log x when x <= 1?
- Recall from the basic log facts that log (x*y) = log x + log y
Hope this helps!
Jared