Pre-write & pre-delete script on the table should do it.  Get all the details you want into a text string then write to the Activity Log.

oSession.WriteLog "M", "New / changed / deleted AP_VendorElectronicPayment data... " & sTheDetailsYouWantToLog

You could write to a UDT too, but with the Activity Log, there are no extra permissions required.

Once I add a field to the script (e.g., oSession.WriteLog "M", "New / changed / deleted AP_VendorElectronicPayment data... " & getvalue("APDivisionNo$"), I receive Error 88 when I try to modify data in Electronic Payment. 

Not sure what I am doing.

Once I add a field to the script (e.g., oSession.WriteLog "M", "New / changed / deleted AP_VendorElectronicPayment data... " & getvalue("APDivisionNo$"), I receive Error 88 when I try to modify data in Electronic Payment. 

Not sure what I am doing.

Don't do it that way.  Construct your string value before the WriteLog command.  (This is from a button script I have, but it shows the concept...).

retVal = 0 : sMsg = ""
sMsg = "StartProgram: " & oSession.StartProgram & vbCrlf
sMsg = sMsg & "oScript.GetCurrentProcedure() : " & oScript.GetCurrentProcedure()  & vbCrlf
sMsg = sMsg & "CompanyCode: " & oSession.CompanyCode & vbCrlf
sMsg = sMsg & "ModuleCode: " & oSession.ModuleCode & vbCrlf
sMsg = sMsg & "Value: " & cStr(Value) & vbCrlf
sMsg = sMsg & "Column: " & Column

This is the syntax for GetValue:

retVal = oBusObj.GetValue("StringFieldName$", sVariableName)

retVal = oBusObj.GetValue("NumericFieldName", nVariableName)

Ahh...

Thanks.

KB 43033 has scripting guidance.