If (log_{3} x = log_{9} 3), find the value of x.
-
A.
(3^{2}) -
B.
(3^{frac{1}{2}}) -
C.
(3^{frac{1}{3}}) -
D.
(2^{13})
Correct Answer: Option B
Explanation
(log_{3} x = log_{9} 3 implies log_{3} x = log_{9} 9^{frac{1}{2}} = frac{1}{2}log_{9} 9)
(log_{3} x = frac{1}{2} )
(therefore x = 3^{frac{1}{2}})