How do i see a log?
 

I asked superduper to do a backup at night 4.30.
And when i start the log to check if it works it says another time and the day when i did it manualy.
but when i go in to "Schedule" i can se that it says "next copy: bla bla" and "Last copy" tells me that it did the backup!
But is there a log in the program that tells me what it did on the night that i can check when i wake up?

Yes. Open the Scheduled Copies window, click on the scheduled copy you want to see the log for, and then click the "Show Log..." button.

The log in the "main window" is only for runs that you do manually.