A) 0
B) \[lo{{g}_{10}}6\]
C) \[lo{{g}_{10}}5\]
D) None of these
Correct Answer: B
Solution :
(b): \[{{\log }_{10}}\left( \frac{3}{2} \right)+{{\log }_{10}}\left( \frac{4}{3} \right)+{{\log }_{10}}\left( \frac{5}{4} \right)+....+10th\,\text{term}\] \[={{\log }_{10}}\left( \frac{3}{2} \right)+{{\log }_{10}}\left( \frac{4}{3} \right)+{{\log }_{10}}\left( \frac{5}{4} \right)+....{{\log }_{10}}\left( \frac{12}{11} \right)\] \[={{\log }_{10}}\left( \frac{3}{2}\times \frac{4}{3}\times \frac{5}{4}\times .....\times \frac{12}{11} \right)\] \[={{\log }_{10}}\left( \frac{12}{2} \right)={{\log }_{10}}6\]
You need to login to perform this action.
You will be redirected in
3 sec
