Prove that log5(2) is irrational. (Hint: Use the unique

Chapter 4, Problem 24E

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QUESTION:

Prove that \(\log _{5}(2)\) is irrational. (Hint: Use the unique factorisation of integers theorem.)

Text Transcription:

log _5(2)

Questions & Answers

QUESTION:

Prove that \(\log _{5}(2)\) is irrational. (Hint: Use the unique factorisation of integers theorem.)

Text Transcription:

log _5(2)

ANSWER:

Solution:

Step 1:

Here we have to prove that 2 is irrational.

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