Use the unique factorization for integers theorem and the definition

iocasq4

iocasq4

Answered question

2022-01-22

Use the unique factorization for integers theorem and the definition of logarithm to prove that log3(7) is irrational.

Answer & Explanation

mihady54

mihady54

Beginner2022-01-23Added 13 answers

Use that
log3(7)=abblog(7)=alog(3)log(7b)=log(3a)7b=3a,
contradiction.

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