1.

Expansion of \[\mathbf{log}{{\mathbf{~}}_{\mathbf{3}}}\left( \frac{\mathbf{27}{{\mathbf{x}}^{\mathbf{3}}}}{\mathbf{5}} \right)\] equals to E, then \[\frac{\mathbf{E}}{\mathbf{3}}\] is ________ 

A. \[1+{{\log }_{3}}x-\frac{1}{3}{{\log }_{3}}5\]
B.      \[3+3\text{ }{{\log }_{3}}x+{{\log }_{3}}5\]
C. \[1+\text{lo}{{\text{g}}_{3}}x+\text{lo}{{\text{g}}_{3}}5\]     
D.      \[{{\log }_{3}}x+\frac{1}{3}\text{lo}{{\text{g}}_{3}}5\]
E. None of these
Answer» B.      \[3+3\text{ }{{\log }_{3}}x+{{\log }_{3}}5\]


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