Logging stuff can be useful to debug things but I only use the browser console for JavaScript stuff. When just logging stuff with events I just append stuff to a textbox, and even then it’s only temporary.
You’ll have to indicate the location when you log manually. Usually it’s not a big deal but there isn’t an automated way to get the location when you log with events or JavaScript.
Now if you made an addon to do the logging it can know the location on the event sheet it was called from. It seemed possible in C2’s addon sdk but no one ever used it. You’d need to investigate c3’s addon sdk to still see if you can do that. But it’s easier and faster to just manually specify the location than to make a plug-in to help with that.