Show that the number log 2 7 is an irrational number

Maths Fundamental of Mathematics Logarithm Subjective Type

Published on: August 11, 2026

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Let log 2 7 = , where p & q are coprime numbers.

⇒ 7 = 2 p/q ⇒ 7 q = 2 p

7 q is an odd number

while 2 p is an even number

∴ this is not possible & log 2 7 is an irrational number.

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