\[log\left( \frac{1}{2} \right)+log\left( \frac{2}{3} \right)+log\left( \frac{3}{4} \right)+......+log\left( \frac{999}{10000} \right)\text{= }\!\!\_\!\!\text{ }\!\!\_\!\!\text{ }\!\!\_\!\!\text{ }\!\!\_\!\!\text{ }\!\!\_\!\!\text{ }\!\!\_\!\!\text{ }\text{.}\]

\[log\left( \frac{1}{2} \right)+log\left( \frac{2}{3} \right)+log\left

1.	\[log\left( \frac{1}{2} \right)+log\left( \frac{2}{3} \right)+log\left( \frac{3}{4} \right)+......+log\left( \frac{999}{10000} \right)\text{= }\!\!\_\!\!\text{ }\!\!\_\!\!\text{ }\!\!\_\!\!\text{ }\!\!\_\!\!\text{ }\!\!\_\!\!\text{ }\!\!\_\!\!\text{ }\text{.}\]
A.	\[-3\]
B.	\[-1\]
C.	0
D.	2
Answer» B. \[-1\]

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\[log\left( \frac{1}{2} \right)+log\left( \frac{2}{3} \right)+log\left( \frac{3}{4} \right)+......+log\left( \frac{999}{10000} \right)\text{= }\!\!\_\!\!\text{ }\!\!\_\!\!\text{ }\!\!\_\!\!\text{ }\!\!\_\!\!\text{ }\!\!\_\!\!\text{ }\!\!\_\!\!\text{ }\text{.}\]

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