You got to use the Exchange Management Shell to move the database path and log folder path in Exchange 2013
You will be using Move-Databasepath Cmdlet
Move-Databasepath "DatabaseName" –EdbFilepath "C:\Newlocation\DBname.edb" –LogFolderpath "C:\Newlocation"
Caution ** It will dismount the stores temporarily which will cause you downtime.
How to Verify it has been moved Successfully
You can Run
Get-MailboxDatabase "DatabaseName" | FL Name,*Path*
You can see the New Database Path