Change the logical Name of a MS SQL database

The process to change the logical name for the database and the log file is  the same 


ALTER DATABASE [DataBaseName] 
   MODIFY FILE ( NAME = OldLogicalName, 
      NEWNAME = NewLogicalName );

ALTER DATABASE [DataBaseName]  
   MODIFY FILE ( NAME = OldLogicalNameLog, 
      NEWNAME = NewLogicalNameLog );