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Are you running MySQL, then the error log is usually located in /var/log/mysql/error.log but sometimes it’s called /var/log/mysql.err.
If your configuration is setup to use syslog and you haven’t created a specific file output, then you’ll see the logging (together with a lot of other stuff) in /var/log/syslog
Login using your mysql client mysql -uroot -p then use this query to find your mysql error log
show variables like "log_error"; to find your error log
Hope this helps.