9. Is (i) log 2 rational or irrational? Justify your answer – InterviewSolution

1.

9. Is (i) log 2 rational or irrational? Justify your answer

Answer»

log 2 is irrational

Proof :Let log 2 be rational

So, log 2 = p/q

2 = e^ ( p/q)

We know e^(p/q) is irrational for any rational power

Therefore a contradiction as LHS is rational and RHS is irrational. So, log 2 is irrational

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