exponent vs logarithm

exponent and logarithm both are nouns.

Word	Noun	Adjective	Verb	Adverb
exponent	Yes	No	No	No
logarithm	Yes	No	No	No

As nouns, logarithm is a hyponym of exponent; that is, logarithm is a word with a more specific, narrower meaning than exponent:

exponent: a mathematical notation indicating the number of times a quantity is multiplied by itself
logarithm: the exponent required to produce a given number

Other hyponyms of exponent include degree, log.

exponent (noun)	logarithm (noun)
a mathematical notation indicating the number of times a quantity is multiplied by itself	the exponent required to produce a given number
a person who pleads for a cause or propounds an idea
someone who expounds and interprets or explains