You can use Cloud Logging to view and query logs for your Database Migration Service instance.

Database Migration Service logging reference

See the Google Cloud platform logging page for definitions of log file names, monitored resources, and payloads for Database Migration Service.

View Cloud SQL logs

Database Migration Service uses Cloud Logging. See the Cloud Logging documentation for complete information and review the Cloud SQL sample queries.

You can view logs for your MySQL, PostgreSQL, SQL Server, or AlloyDB for PostgreSQL instance log entries.