Log to journald
I created a very tiny logging function for shell and bash to log into the journal. Since it may be updated, I created a GitHub Gist out of it.
Further reading
The journald-cat
man page.
Log from Python to journald
In Python it is as easy, just import journal from systemd
from systemd import journal
journal.send('Hello world')
journal.send("Hi", MESSAGE_ID="me", PRIORITY=1)
And of course it is possible to use it together with the logging system
log.addHandler(JournalHandler())