The Exchange 2010 Management Center included PowerShell cmdlet logging functionality, something that was removed in Exchange 2013. The good news is that this functionality has returned as part of the Exchange Admin Center in Exchange 2013 Service Pack 1 and also in Exchange Online.
When you sign in with Admin credentials you will find the entry point for the PowerShell log view in the drop down list besides the help question mark under “Show Command Logging” (this feature is not available for non-admins):
The cmdlet list will display up to 500 entries and includes features such as search, export, start/stop logging, and more.
