If (sqrt{3^{frac{1}{x}}}) = (sqrt{9}) then the value of x is:
-
A.
(frac{3}{4}) -
B.
(frac{4}{3}) -
C.
(frac{1}{3}) -
D.
(frac{2}{3}) -
E.
(frac{1}{2})
Correct Answer: Option E
Explanation
(sqrt{3^{frac{1}{x}}}) = (sqrt{9})
3(^{frac{1}{2x}}) = (9^{frac{1}{2}})
3(^{frac{1}{2x}}) = 3(^{2 times frac{1}{2}})
3(frac{1}{2x}) = 3(frac{2}{2}) = 3
(3^{frac{1}{2x}}) = (3^{1})
(frac{1}{2x}) = (frac{1}{1})
x = (frac{1}{2})