turkey-yks 2014 Q30

turkey-yks · Other · lys1-math Laws of Logarithms Solve a Logarithmic Equation
$$\log _ { 2 } \left( \frac { 1 } { \sqrt { x } } \right) + \log _ { 4 } \left( \frac { 4 } { y } \right) = 3$$
Given that, what is the product $x \cdot y$?
A) $\frac { 2 } { 3 }$
B) $\frac { 3 } { 4 }$
C) $\frac { 5 } { 6 }$
D) $\frac { 3 } { 8 }$
E) $\frac { 1 } { 16 }$
$$\log _ { 2 } \left( \frac { 1 } { \sqrt { x } } \right) + \log _ { 4 } \left( \frac { 4 } { y } \right) = 3$$

Given that, what is the product $x \cdot y$?\\
A) $\frac { 2 } { 3 }$\\
B) $\frac { 3 } { 4 }$\\
C) $\frac { 5 } { 6 }$\\
D) $\frac { 3 } { 8 }$\\
E) $\frac { 1 } { 16 }$