Final answer:
Luke was possibly educated in Alexandria, which was a prominent center of learning during the Hellenistic period and home to the famous Museon or Museum of Alexandria.
Step-by-step explanation:
The center of learning where Luke was possibly educated is a subject of historical conjecture, but among the options provided, Alexandria is the most prominent center of learning from ancient times. Alexandria, during the Hellenistic period, was a beacon of knowledge and housed the famous Museon, also known as the Museum of Alexandria, which included the world's largest library as well as various research facilities. Thus, the educational institution that may have educated Luke is closely associated with the intellectual and literary advances made in Alexandria.