Condense the Expression $\frac { 1 } { 3 } \left[ \log _ { 6 } x + \log _ { 6 } 7 \right] - \left[ \log _ { 6 } y \right]$

question 142

Multiple Choice

Condense the expression $\frac { 1 } { 3 } \left[ \log _ { 6 } x + \log _ { 6 } 7 \right] - \left[ \log _ { 6 } y \right]$ to the logarithm of a single term.

• A) \(\log _ { 6 } \frac { ( 7 x ) ^ { 3 } } { y }\)
• B) \(\log _ { 6 } \frac { \sqrt [ 3 ] { 7 x } } { y }\)
• C) \(\log _ { 6 } \sqrt [ 3 ] { \frac { 7 x } { y } }\)
• D) \(\log _ { 6 } \sqrt [ 3 ] { 7 x } - \log _ { 6 } y\)
• E) \(\log _ { 6 } \frac { 7 x } { 3 y }\)

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