remember vs think back

remember and think back both are verbs.

Word	Noun	Adjective	Verb	Adverb
remember	No	No	Yes	No
think back	No	No	Yes	No

As verbs, remember and think back are synonyms defined as:

remember (verb)	think back (verb)
recall knowledge from memory; have a recollection	recapture the past; indulge in memories
keep in mind for attention or consideration
recapture the past; indulge in memories
exercise, or have the power of, memory
call to remembrance; keep alive the memory of someone or something, as in a ceremony
mention as by way of greeting or to indicate friendship
mention favorably, as in prayer
show appreciation to