1.

The coefficient of \[{{x}^{n}}\] in the expansion of \[{{\log }_{a}}(1+x)\]  is

A. \[\frac{{{(-1)}^{n-1}}}{n}\]
B. \[\frac{{{(-1)}^{n-1}}}{n}{{\log }_{a}}e\]
C. \[\frac{{{(-1)}^{n-1}}}{n}{{\log }_{e}}a\]
D. \[\frac{{{(-1)}^{n}}}{n}{{\log }_{a}}e\]
Answer» C. \[\frac{{{(-1)}^{n-1}}}{n}{{\log }_{e}}a\]


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