If (log_{9} 3 + 2x = 1), find x.
-
A.
(frac{-1}{2}) -
B.
(frac{-1}{4}) -
C.
(frac{1}{4}) -
D.
(frac{1}{2})
Correct Answer: Option C
Explanation
(log_{9} 3 = log_{9} (9^{frac{1}{2}}) = frac{1}{2}log_{9} 9 = frac{1}{2})
(frac{1}{2} + 2x = 1 implies 2x = frac{1}{2})
(x = frac{1}{4})