lexicologist vs lexicographer

lexicologist and lexicographer both are nouns.

Word	Noun	Adjective	Verb	Adverb
lexicologist	Yes	No	No	No
lexicographer	Yes	No	No	No

As nouns, lexicologist and lexicographer are synonyms defined as:

lexicologist and lexicographer: a compiler or writer of a dictionary; a student of the lexical component of language

lexicologist (noun)	lexicographer (noun)
a compiler or writer of a dictionary; a student of the lexical component of language	a compiler or writer of a dictionary; a student of the lexical component of language