Assume That X,y,and C Are Positive Numbers $\log _ { c } \sqrt [ 6 ] { x y }$

question 43

Multiple Choice

Assume that x,y,and c are positive numbers.Use the properties of logarithms to write the expression $\log _ { c } \sqrt [ 6 ] { x y }$ in terms of the logarithms of x and y. ?

• A) \(\frac { 1 } { 6 } \log _ { c } x + \log _ { c } y\)
• B) \(6 \log _ { c } x + 6 \log _ { c } y\)
• C) \(\frac { 1 } { 6 } \log _ { c } ( x + y )\)
• D) \(\log _ { c } x + \log _ { c } y\)
• E) \(\frac { 1 } { 6 } \log _ { c } x + \frac { 1 } { 6 } \log _ { c } y\)

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