Bitterguy, of all the tools in my shop, the table saw scares the begeebees out of me. Tables saw are designed to be used to cut dimention lumber. Even when using lumber the saw can bind and kick ones hands onto the blade. Splitters and irregular edge of a log made them more likely to bind and kick.
That being said, I have used my table saw to cut dimentional lumber for handles and overlays from small logs. I split them in half then split them in half again to get as near to a 90 degree angle as possible. The I square them with a shurform or rasp to remove all the splitter and make a flat surface for the "log" to lay on the table and against the fence. Mind you, I'm not cutting anything over a couple inches tall. USE THE PUSH POLE TO KEEP YOUR HANDS AWAY FROM THE BLADE. Wear safety glasses.
I DO NOT RECCOMMEND OR ENDORSE USING A TABLE SAW IN THIS MANNER.