InterviewSolution
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InterviewSolution
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log2 . log25 5 = A) 0 B) 1 C) -1 D) 1/2 |
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Answer» Correct option is (C) -1 \(log_2\,(log_{25}\,5)\) \(=log_2\,(\frac1{log_{5}\,25})\) \((\because log_b\,a=\frac1{log_a\,b})\) \(=log_2\,(\frac1{log_{5}\,5^2})\) \(=log_2\,(\frac1{2\,log_{5}\,5})\) \((\because log\,a^n=n\,log\,a)\) \(=log_2\,(\frac1{2})\) \((\because log_a\,a=1)\) \(=log_2\,(2^{-1})\) \(=-1\,log_2\,2\) = -1 Correct option is C) -1 |
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