exhort vs cheer

exhort is not a noun while cheer is a noun.

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

As verbs, exhort and cheer are synonyms defined as:

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

exhort (noun)	cheer (noun)
	the quality of being cheerful and dispelling gloom
	a cry or shout of approval

exhort (verb)	cheer (verb)
force or impel in an indicated direction	become cheerful
spur on or encourage especially by cheers and shouts	spur on or encourage especially by cheers and shouts
	show approval or good wishes by shouting
	cause (somebody) to feel happier or more cheerful
	give encouragement to