For me I couldn't get out of the first room and I quit the game in less than 30 seconds when I first played it a few days ago. It's ironic because the first room is filled with pretty good short guide on how to play, yet I could not leave this room.
When I gave it another chance now, I found out that it may be because the "F" key tooltip near the exit of the first room is not placed well and is overshadowed by the yellow text which may have been why I was confused, and then when I noticed this on a closer look, I made it out of the first room.
Everything else after that very first room, including this part you had trouble with where you cut the trees with the axe and collect the logs, made sense to me immediately for some reason.
However if you had trouble with the log part, that may be valid and should be paid attention to just in case there's something unintuitive about this part of the game or any other parts.