Examveda

# If log 27 = 1.431, then the value of log 9 is:

A. 0.934

B. 0.945

C. 0.954

D. 0.958

\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 & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = \left( {2 \times 0.477} \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 0.954 \cr}