The logarithm of 0.0625 to the 2 is

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RRB Junior Clerk Exam (Allahabad) 2009 click here to view all questions

The logarithm of 0.0625 to the 2 is

A-4

B-2

C0.25

D0.5

Nithin K ? Apr 21 '2018 at 18:16

Correct Answer: A [-4]

Explanation:

\(log_{2}0.0625=log_{2}\Big(\frac{625}{10000}\Big)\)

\(=log_{2}\Big(\frac{1}{16}\Big)\)

\( =log_{2}{1} - log_{2}16\)

\(=-log_{2}16\)

\(= - \text{ log}_{2}2^4\)

\(=-4\text{ log}_{2}2\)

=-4

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Correct Answer: A [-4] Explanation: \(log_{2}0.0625=log_{2}\Big(\frac{625}{10000}\Big)\) \(=log_{2}\Big(\frac{1}{16}\Big)\) \( =log_{2}{1} - log_{2}16\) \(=-log_{2}16\) \(= - \text{ log}_{2}2^4\) \(=-4\text{ log}_{2}2\) =-4 Nithin K ? answered Apr 21 '2018 at 18:16 All Comments

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