SharePoint 2010 Management shell is the useful tools.
Click start-> all programs -> SharePoint 2010 products -> SharePoint 2010 management shell. Then do as follow:
- Input $app = Get-SPWebApplication "URL"
- Input $app.UseClaimsAuthentication, then press Enter, you will see the "false"
- Input $app.UseClaimsAuthentication = "True", to set the web application use Claims authentication
- Input $app.Update(), save the changes to database.
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OK, you can use forms based authentication mode.