Anyway, I think that the white message on a black background you see is actually a brief glimpse into text mode- the desktop environment has already shut down, and the system is closing everything. The dialogue reads something like this: "The system is going for shutdown NOW" and a bunch of things being killed, or something to that effect.
> I have installed ksystemlog Are you using KDE? That might have something to do with it. Or are you running the standard Trisquel DE? About your normal shutdown procedure- does Plymouth appear briefly on shutdown as well as boot? What do you normally see when you shut down?