Excellent detailed information on this section of the 4T here.
This is the Forest Trail section from the Oregon Zoo through the Oregon Health and Science University (OHSU) to the Tram.
This wonderful hike is mostly through quiet scenic woods away from dwellings and traffic. The trail goes up to Council Crest where you will have great views before descending to the zoo. You have a choice of routes, the Urban Route and the Forest Route.