Logging Without a Static Logger

How do you organize logging in your applications? I mean web applications or command line apps, or even mobile apps. I bet you have some global variable or a singleton, known as Logger, which has a few methods like info(), error(), and debug(). You configure it when the app starts, or it configures itself via something like log4j.properties, and logs everything to the console or a file, or even a database. I was doing exactly that, or something very similar, for many years, until I finally re...