The value of log 0.01 (1000) is

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

$$\text{The value of } log_{(0.01)} (1000)\text{ is}$$

A$$\frac{1}{3}$$

B$$-\frac{1}{3}$$

C$$\frac{3}{2}$$

D$$-\frac{3}{2}$$

Nithin K ? Apr 20 '2018 at 19:59

Correct Answer: D [\(-\frac{3}{2}\)]

Explanation:

\(log_{0.01}{1000} = \frac{\text{log 1000}}{\text{log 0.01}}\)

\(=\frac{\text{log }10^3}{\text{log }10^{-2}}\)

\(=\frac{3\text{ log 10}}{-2\text{ log 10}}\)

\(=-\frac{3}{2}\)

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Correct Answer: D [\(-\frac{3}{2}\)] Explanation: \(log_{0.01}{1000} = \frac{\text{log 1000}}{\text{log 0.01}}\) \(=\frac{\text{log }10^3}{\text{log }10^{-2}}\) \(=\frac{3\text{ log 10}}{-2\text{ log 10}}\) \(=-\frac{3}{2}\) Nithin K ? answered Apr 20 '2018 at 19:59 All Comments

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