The issue is that there may be a policy in place to prevent logons if there is any mount that is full.  There are a couple of approaches towards resolution.  Both approaches require a system shutdown.  One approach requires access to the ISO, which leaves a plausible solution.

reboot
Hit CTL+X to edit the boot kernel ##CHECK THIS ONE, MIGHT BE DIFFERENT KEY
add `rd.break` to the kernel boot line
type root password at the prompt
lvm vgscan
lvm vgchange -ay
lvm lvs
mkdir logs
mount /dev/mapper/vg01-var_log ./logs
rm -fv ./logs/*-2*
reboot