My ZD 1125 and 25 APs produce a lot of logging! 50-100 lines a second is not unusual. If you have a big deployment your log can get a tad on the bulky side. Just bear in mind when you wonder where all your disk space went.
[nearly 700,000 entries in the 3h since earlier post, tee, hee].
You can limit/filter your Syslog output, if you look on your ZD, Configure/System page, Log Settings section - Show More, Warning and Critical Events, Critical Events only. These show All, Most, or only Critical messages, and current code has further Syslog Facility levels if you wish.