If \( a^{2}+4 b^{2}=12 a b \), then \( \log (a+2 b)= \) (A) \( \frac{1}{2}(\log a+\log b-2) \) (...

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If \( a^{2}+4 b^{2}=12 a b \), then \( \log (a+2 b)= \)
(A) \( \frac{1}{2}(\log a+\log b-2) \)
(B) \( \log \frac{a}{2}+\log \frac{b}{2}+\log 2 \)
(C) \( \frac{1}{2}(\log a+\log b+4 \log 2) \)
(D) \( \frac{1}{2}(\log a-\log b+4 \log 2) \)
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