Below are examples of checking the event viewer via PowerShell.
Running local with event id and date range
Get-WinEvent -FilterHashtable @{logname=’application’;id=4107;StartTime=”1/15/11″;EndTime=”1/17/11″}
Running on remote computer with event ID
Get-WinEvent -computername <remote computer> -FilterHashtable @{logname=’application’;id=15006}