Use Properties of Logarithms to Condense the Logarithmic Expression $$\frac { 1 } { 7 } \left( \log _ { 4 } x + \log _ { 4 } y \right)$$

question 14

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.
- $$\frac { 1 } { 7 } \left( \log _ { 4 } x + \log _ { 4 } y \right)$$

• A) \(\log _ { 4 } \sqrt [ 7 ] { x y }\)
• B) \(\log _ { 4 } \sqrt [ 7 ] { \mathrm { x } } + \log _ { 4 } \sqrt [ 7 ] { \mathrm { y } }\)
• C) \(\sqrt [ 7 ] { \log _ { 4 } ( x y ) }\)
• D) \(\log _ { 4 } \sqrt [ 7 ] { x + y }\)

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