Become superuser or assume an equivalent role.
Monitor the contents of the /var/adm/sulog file on a regular basis.
# more /var/adm/sulog SU 12/20 16:26 + pts/0 nathan-root SU 12/21 10:59 + pts/0 nathan-root SU 01/12 11:11 + pts/0 root-joebob SU 01/12 14:56 + pts/0 pmorph-root SU 01/12 14:57 + pts/0 pmorph-root