Given that (log_{2} y^{frac{1}{2}} = log_{5} 125), find the value of y.
-
A.
16 -
B.
25 -
C.
36 -
D.
64
Correct Answer: Option D
Explanation
(log_{2} y^{frac{1}{2}} = log_{5} 125)
(log_{2} y^{frac{1}{2}} = log_{5} 5^{3} = 3log_{5} 5 = 3)
(log_{2} y^{frac{1}{2}} = 3 implies y^{frac{1}{2}} = 2^{3} = 8)
(y = 8^{2} = 64)