open my.cnf and copy the log-error
path
then check the permission for the copied log file using
$ ls -l /var/log/mysql.log
if any log file permission may changed from mysql:mysql, please change the file permission to
$ chown -R mysql:mysql /var/log/mysql.log
then restart the mysql server
$ service mysql restart || systemctl restart mysqld
note: this kind of errors formed by the permission issues. all the mysql service start commands using the log file for writing the status of mysql. If the permission has been changed, the service can't be write anything into the log files. If it happens it will stopped to run the service