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