If \(\log_{3} x = \log_{9} 3\), find the value of x.
- \(3^{2}\)
-
\(3^{\frac{1}{2}}\)
- \(3^{\frac{1}{3}}\)
- \(2^{13}\)
The correct answer is: B
Explanation
\(\log_{3} x = \log_{9} 3 \implies \log_{3} x = \log_{9} 9^{\frac{1}{2}} = \frac{1}{2}\log_{9} 9\)
\(\log_{3} x = \frac{1}{2} \)
\(\therefore x = 3^{\frac{1}{2}}\)