Use Properties of Logarithms to Condense the Logarithmic Expression $\frac { 1 } { 3 } \left( \log _ { 4 } x + \log _ { 4 } y \right)$

question 174

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.
- $\frac { 1 } { 3 } \left( \log _ { 4 } x + \log _ { 4 } y \right)$

• A) \(\sqrt [ 3 ] { \log _ { 4 } ( x y ) }\)
• B) \(\log _ { 4 } \sqrt [ 3 ] { x + y }\)
• C) \(\log _ { 4 } \sqrt [ 3 ] { x } + \log _ { 4 } \sqrt [ 3 ] { y }\)
• D) \(\log _ { 4 } \sqrt [ 3 ] { x y }\)

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