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log 100 is rational or irrational? Justify your answer.

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log 100 is rational or irrational? Justify your answer.

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Best answer

Let log10100 = x 

⇒ log10102 = x 

⇒ 2 log1010 = x = 2 

∴ log 100 is rational. 

∴ log 100 = 2 

Hence rational.

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