Rational numbers raised to an irrational power.

2d3vljtq 2022-07-09 Answered
Rational numbers raised to an irrational power.
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Answers (1)

tilsjaskak6
Answered 2022-07-10 Author has 14 answers
2 log 2 3 = 3 is rational.
Check that log 2 3 is irrational.
Suppose it is rational.
log 2 3 = a b
where g c d ( a , b ) = 1.
3 b = 2 a which is a contradition.
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