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