You can't see logs of an app that is not running. I can tell you this if you're really curious : there is nothing to log anyway. :)
Now you might want one of those things :
System logs :
Just go in the Device Manager of XCode (short cut is Shift-Apple-2 I think). It's in the Window Tab, under Devices. Select the device you're running on, then you'll have the logs available there.
This logs everything the device logs, so there will be a LOT of text.
App logs :
Those are the ones you already have, but you seem to clearly want the "restart" logs of your app. There is no such thing as a restart log. What you have is the logs at the start of your app, and the ones at the end. For example, what you logged in your AppDelegate's didBecomeActive or willTerminate (or even didEnterBackground).
You will only see the logs of the didBecomeActive when you actually run the app from XCode (otherwise the debugger is offline). He will start the app as if you tapped on the app icon, so no worries there.
If you decide to kill the app by swiping up, it will log the app delegate, and you'll just be able to browse it in the debugger. You can put a breakpoint if you want to make sure it enters the AppDelegate methods.
But if you want to restart the app again, you'll have to re-run it from Xcode, not manually start it on the phone.
File logging :
Another very easy solution is to log everything on a text file in the Documents directory of your app, you'll then be able to start/quit as much as you want, and let it log on the file. You can later read that file like any other file :)
