Extract a date from the middle of a logged field

I'm trying to extract a date into a formula date field from a logged field that isn't necessarily on the top or bottom of the log. It could be, but it could also be in the middle.
I need the date associated with the "living with" selection from a multiple choice field.

The formula i thought was working is

If(Contains([Type Log],"Living with"),
ToDate(Left(Right(NotRight([Type Log],"Living with"),"["),9)),null)

But then i realized if there was another entry below the "living with" entry, it was grabbing that date instead. 
Is this possible?
Thanks!

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Trish Wehrle
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