Logging is done through the managemnet vrf , example below off one of my 5ks and a doc on it
https://www.cisco.com/c/en/us/td/docs/switches/datacenter/sw/5_x/nx-os/system_management/configuration/guide/sm_nx_os_cg/sm_5syslog.html#pgfId-1065165
logging server syslog 6 use-vrf management
logging server x.x.x.x 5 use-vrf management
logging monitor 6
For interface up/downs
logging event link-status default
logging level ethpm link-up error
and under interface itself
logging event port link-status
or
logging event port trunk-status
and
snmp trap link-status