Guys are correct and in any situation there is absolutely no need to upgrade the storage space. Either if the setup is distributed then the logs are not being shipped to mgmt server. Or at the worst case if you are OK with snapshot feature you can use lvm_manager utility to resize the disk and get more space added for log_partition or root partition.
However you would need to conduct the activity by arranging maintenance window. Just to confirm below command output would definitely help
#lvdisplay
#vgdisplay
#lvm_manager Option 1
Thanks and Regards,
Blason R
CCSA,CCSE,CCCS