[Optimum] The log scan number (287:472:1) passed to log scan in database 'master' is not valid

This error may indicate data corruption or that the log file (.ldf) does not match the data file (.mdf). If this error occurred during replication,

re-create the publication. Otherwise, restore from backup if the problem results in a failure during startup.

Solution:

1. Re-install SQL Server Express
2. Install SQL Server Management Studio
3. Attach back the database file (.mdf)

Please Refer : How to install Microsoft SQL Management Studio

AND
Please Refer : How to manual attach database into SQL Server with SQL Management studio