If (log_{2} y = 3 – log_{2} x^{frac{3}{2}}), find y when x = 4.

A.
8 
B.
(sqrt{65}) 
C.
4(sqrt{2}) 
D.
3 
E.
1
Correct Answer: Option E
Explanation
(log_{2} y = 3 – log_{2} x^{frac{3}{2}})
When x = 4,
(log_{2} y = 3 – log_{2} 4^{frac{3}{2}})
(log_{2} y = 3 – log_{2} 2^{3})
(log_{2} y = 3 – 3 log_{2} 2 = 3 – 3 = 0)
(log_{2} y = 0 implies y = 2^{0} = 1)