Can you clarify on how you deleted your Log Volumes? Are the physical log volume files still present, but the content has been deleted e.g. by a 'clear log' or did you indeed permanently delete all your Log Volumes on OS level?
The problem is that MaxDB needs Log Volumes to be able to start, even though the actual data is kept on the data volumes. A 'clear log' only works on existing log volumes, but does not recreate any missing Volumes (I hope we can change this in the future).
Do you have any file system backup available where you could extract the old Log Volumes from? If so, you could restore those Log Volumes and then perform a 'util_execute clear log' - it may work.
Thorsten