Use Properties of Logarithms to Condense the Logarithmic Expression $$\frac { 1 } { 7 } \left( \log _ { 7 } x + \log _ { 7 } y \right) - 5 \log _ { 7 } ( x + 3 )$$

question 107

Multiple Choice

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm
whose coefficient is 1. Where possible, evaluate logarithmic expressions.
- $$\frac { 1 } { 7 } \left( \log _ { 7 } x + \log _ { 7 } y \right) - 5 \log _ { 7 } ( x + 3 )$$

• A) \(\log _ { 7 } \frac { \sqrt [ 7 ] { x y } } { ( x + 3 ) ^ { 5 } }\)
• B) \(\log 7 \frac { \sqrt [ 7 ] { x + y } } { ( x + 3 ) ^ { 5 } }\)
• C) \(\log _ { 7 } \frac { \sqrt [ 7 ] { x y } } { 5 ( x + 3 ) }\)
• D) \(\log _ { 7 } \frac { \sqrt [ 7 ] { x } + \sqrt [ 7 ] { y } } { ( x + 3 ) ^ { 5 } }\)

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