Do you see the logs that you want to see in the local logs on the switch? If your run: 'show log -r' you will see what is locally collected. If the logs you want to see are not in there, they are not generated.
If you want to receive debug level logs, you can turn that on (example for events debug):
sw01# debug event
sw01# debug destination
logging Send debug messages to syslog server.
session Print debug messages to terminal.
buffer Print debug messages to a buffer in memory.
sw01# debug destination logging
You don't see the logging severity debug in the configuration as that is the default.
sw01(config)# logging severity info
sw01# show running-config | inc sever
logging severity info
sw01(config)# logging severity debug
sw01# show running-config | inc sever
<nothing as defaults are not shown>