@Sven Groot: Thanks but no dice.

Get-EventLogApplication |? { $_.Source.StartsWith("ASP.NET") } > asp.log

XXXXXXXX Apr 27 04:46  Warning     ASP.NET 4.0.30319.0    XXXX4849XX Event code: 3005...

Entries are truncated and no stack trace information is available. ZippyV's method works with a CSV export, except now I am searching through megabytes of mixed logs for Application.

I think in this case, the system really does suck, but I can't do anything about it. As is typical for Windows, some little sh1t company probably has a logging solution they sell for 1 million dollars because they only have 2 customers.