If log 27 = 1.431, then the value of log 9 is:
A. 0.934
B. 0.945
C. 0.954
D. 0.958
Answer: Option C
Solution(By Examveda Team)
$$\eqalign{ & \log 27 = 1.431 \cr & \Rightarrow \log \left( {{3^3}} \right) = 1.431 \cr & \Rightarrow 3\,\log \,3 = 1.431 \cr & \Rightarrow \log \,3 = 0.477 \cr & \therefore \log \,9 = \log \left( {{3^2}} \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 2\,\log \,3 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {2 \times 0.477} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 0.954 \cr} $$Join The Discussion
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Related Questions on Logarithm
Which of the following statements is not correct?
A. log10 10 = 1
B. log (2 + 3) = log (2 x 3)
C. log10 1 = 0
D. log (1 + 2 + 3) = log 1 + log 2 + log 3
$${{\log \sqrt 8 } \over {\log 8}}$$ is equal to:
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B. $$\frac{1}{4}$$
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Sir logarithm 3 value how come