The three logs can all be found if you head to the Right of the merchant camp. There's a forest hub zone there with multiple branching paths. The logs can be found if you follow the paths that lead specifically down (There are two of these, where you find a house, and a Hunter respectively) as well as Right (Where you can find the sick man.). If you need the tools those are directly Up from Rest Spot area and will require you to complete a boss fight. Hope that helps!