It's not quite so simple in SSIS.  Open the SSIS package, right click in white space, choose Logging.  There you can choose where you want your logs to go (text file, table, xml file, etc.) and you can choose the level of the package at which you want to log (easiest to just choose top level) and which events you want to log, such as OnError, OnWarning, OnPipelineRowsSent, PackageEnd, etc.  Make sure after you ADD your destination for the logs, that you check the checkbox in front of it.

Check books online for more details.

I agree, the text files were nice and easy in 2000, not to mention the package logs on the server.