Condense the Expression $\frac { 1 } { 5 } \left[ \log _ { 5 } x + \log _ { 5 } 6 \right] - \left[ \log _ { 5 } y \right]$

question 58

Multiple Choice

Condense the expression $\frac { 1 } { 5 } \left[ \log _ { 5 } x + \log _ { 5 } 6 \right] - \left[ \log _ { 5 } y \right]$ to the logarithm of a single term.

• A) \(\log _ { 5 } \frac { ( 6 x ) ^ { 5 } } { y }\)
• B) \(\log _ { 5 } \frac { 6 x } { 5 y }\)
• C) \(\log _ { 5 } \sqrt [ 5 ] { \frac { 6 x } { y } }\)
• D) \(\log _ { 5 } \frac { \sqrt [ 5 ] { 6 x } } { y }\)
• E) \(\log _ { 5 } \sqrt[5] { 6 x } - \log _ { 5 } y\)

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