No log written in Syslog and auth.log

If you want to check some errors in /var/log/syslog or /var/log/auth.log and you find both files empty, it means system is not able to write logs in both files because of permission issue or any mis configuration. Here is solution for you. 

Solution :
Reconfigure rsyslog

sudo apt-get install --reinstall rsyslog
sudo service rsyslog restart

If still it does not work, issue may be with permissions, check the owner of both files.

ls -l /var/log/syslog
ls -l /var/log/auth.log

Group and owner should be syslog & adm, if owner or group is set as root or anything else, you need to change with following commands

sudo chown syslog:adm /var/log/syslog
sudo chown syslog:adm /var/log/auth.log

Now check if it starts writing logs in both files. Still it does not work, restart the service rsyslog.

sudo service rsyslog restart

it should work now.