Question

prove that log2 is irrational number:​

Answer 1

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Short proof of “log 2 is irrational”

Since log 1 = 0 and log 10 = 1, 0 < log 2 < 1 and therefore p < q. From (1), , where q – p is an integer greater than 0. Now, it can be seen that the L.H.S. is even and the R.H.S. is odd.