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

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) $\frac { 1 } { 6 } \log _ { c } x + \frac { 1 } { 6 } \log _ { c } y$