Docker container log management includes log drivers, log rotation, and log collection. Docker supports multiple log drivers: json-file (default, local files), syslog (send to syslog), journald (send to systemd journal), fluentd (send to Fluentd), gelf (send to Graylog), awslogs (send to CloudWatch). Use the --log-driver parameter to specify the log driver, --log-opt to configure options. Log rotation: --log-opt max-size (maximum size of a single log file), --log-opt max-file (number of log files to retain). Production environments recommend using centralized log collection (such as ELK Stack, Fluentd) for unified management and analysis.