Console widget for bundled APKs?

I have an apk which I need to debug over a longer period of time than the web debugger can deal with (multiple days). I send log messages to console, which I can see fine via the browser javascript console when viewing the web app. But is there an equivalent for android/apks where I can either see these console messages or is there a console widget that I can put on a settings or debug page so I can switch to that and see the console messages? Or do I need to do an adb log thing here?