Prove \(\displaystyle{{\log}_{{{10}}}{\left({2}\right)}}\) is irrational

Jazmyn Holden

Jazmyn Holden

Answered question

2022-03-31

Prove log10(2) is irrational

Answer & Explanation

Adan Berry

Adan Berry

Beginner2022-04-01Added 12 answers

Hint: if 10ab=2 then 10a=2b
Jazlyn Mitchell

Jazlyn Mitchell

Beginner2022-04-02Added 14 answers

Prove by contradiction. So start by assuming
log102=mn
, where m and n are integers.
10mn=2
10m=2n
and derive a contradiction.

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