urge vs exhort

urge is a noun but exhort is not a noun.

Word	Noun	Adjective	Verb	Adverb
urge	Yes	No	Yes	No
exhort	No	No	Yes	No

As verbs, urge and exhort are synonyms defined as:

Other synonyms of urge include press, urge on.

As verbs, urge and exhort are synonyms defined as:

Other synonyms of urge include barrack, cheer, inspire, pep up, root on, urge on.

urge (noun)	exhort (noun)
a strong restless desire
an instinctive motive

urge (verb)	exhort (verb)
force or impel in an indicated direction	force or impel in an indicated direction
spur on or encourage especially by cheers and shouts	spur on or encourage especially by cheers and shouts
push for something