This is a sample script that shows how to send an email from PowerShell without installing the SMTP service on the local system. There is a VBScript example similar to this in the Technet script repository, but it wasn't too hard to convert it to Powershell.
$email = new-object -comobject "cdo.message"
$email.From = "sample@domain.com"
$email.To = "sample@domain.com"
$email.Subject = "App Errors"
$email.TextBody = "The app encountered the following errors: `n`n"
foreach ($f in get-content app.log | select-string "does not exist")
{
$email.TextBody += "$f `n"
}
$email.Configuration.Fields.Item("http://schemas.microsoft.com/cdo/configuration/sendusing") = 2
$email.Configuration.Fields.Item("http://schemas.microsoft.com/cdo/configuration/smtpserver") = "smtp.sample.com"
$email.Configuration.Fields.Item("http://schemas.microsoft.com/cdo/configuration/smtpserverport") = 25
$email.Configuration.Fields.Update()
$email.Send()