The best way to find the service that is causing the problem is top search for the string in RegEdit.exe by running regedit from the run command available from [Windows Button] + R
Once you have found the service you can adjust the permissions on component manager, which you should run as an administrator user.
In this case the services are both the same - DTSAudioService
So go to components services, run as administrator and find DTSAudioService:
Now right click and choose permissions and select the security tab at the top:
Now click the edit button under configuration permissions
and you should see:
Click the add button and enter 'local' as the user, as that is the user that the event log is reporting as lacking permissions. Tick the boxes to ensure that the LOCAL SERVICE user has full control as above.
Now press OK to return top the previous screen and this time click the top edit button under Launch and Activate Permissions
Now ensure that the LOCAL SERVICE user has permissions to launch and activate in all cases by populating all of the options in the box below when LOCAL SERVICE is highlighted in the top box:
That should give the LOCAL SERVICE user permissions to run the DTSAudioService whenever it wishes.