I was wondering does the game log show just one day?

It only records what happens in your game since you launched it, whether that's one hour, one day, or one week. It is erased and rewritten every time you launch the game. You can find out more in this sticky thread, which describes the game log and how to use it.

Boy now I really do feel embaressed I have read and read and reread the posts and I couldn't find this answer but now that you tell me I can see that is what all the posts were saying.

Thanks for the help
Felling stupid lol