How to prove that an irrational number to an irrational

Hector Petersen

Hector Petersen

Answered question

2022-06-19

How to prove that an irrational number to an irrational number could be irrational

Answer & Explanation

scipionhi

scipionhi

Beginner2022-06-20Added 25 answers

2 is irrational, as you know. log 2 3 is irrational, since log 2 3 = a / b is 2 a = 3 b which contradicts the Unique Factorization Theorem. And 2 log 2 3 = 3 , which can be shown to be irrational by the techniques that work for 2 .

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