For structured / trace logging like x-ray, you need to do quite a lot of work in the app. It doesn't happen automatically. You can get a bit of it "for free" from NewRelic APM which can do some sampling of execution traces, but it's mostly around function calls, not custom spans. (You can define those too)
If you need just text output logging, there are a few solutions already described. But at this point you should really make a decision - are you after simple text logs, or can you put in work to get structured events or tracing out of your app.
If you need just text output logging, there are a few solutions already described. But at this point you should really make a decision - are you after simple text logs, or can you put in work to get structured events or tracing out of your app.