Yes !! Now I can cut down a tree !! This part of your reply told me what I needed to know "scroll so that the axe is highlighted in the toolbar. then hold down left click with the mouse cursor over the base of a tree nearby the player, so the player can reach the tree (the base is where the collision area is). The tree should break after a second or so and will appear in your inventory." The only thing being that the Tree did not really "break," it just disappeared.
I checked the Inventory and there's a square that said 102 on it. When I click on it, the word "tree" appeared at the bottom of the matrix of squares. I'm not sure what the 102 means, but it may have incremented to 103 when I chopped down another tree. I like chopping down trees.
Now . . . what do I do with the trees I have cut down and how do I do it?