Question

is log3 is rational or irrational
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Answer 1

Step-by-step explanation:

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.

Answer 2

Answer:

The log (base 10) of any number that is not 10 to some rational power is going to be irrational. However, 10 to arational, but non-integer, power will itself be irrational. So even though 10^.