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

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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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