Question

is log 3 rational or irrational? justify your answer​

Answer 1

Step-by-step explanation:

If log(3) is rational, we can write this as: log(3) = x/y where x and y are integers. Since 3 raised to any integer power is odd and 10 raised to any integer power is even and that a number cannot be both even and odd, this cannot be true! Hence, we have reached at a contradiction and so log(3) must be irrational.

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Answer 2

Answer:

If log(3) is rational, we can write this as: log(3) = x/y where x and y are integers. Since 3 raised to any integer power is odd and 10 raised to any integer power is even and that a number cannot be both even and odd, this cannot be true! Hence, we have reached at a contradiction and so log(3) must be irrational.

Step-by-step explanation:

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