If \( a^{2}+4 b^{2}=12 a b \), then \( \log (a+2 b) \) is....

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If \( a^{2}+4 b^{2}=12 a b \), then \( \log (a+2 b) \) is
\( \mathrm{P} \)
(1) \( \frac{1}{2}[\log a+\log b-\log 2] \)
W.
(2) \( \log \frac{a}{2}+\log \frac{b}{2}+\log 2 \)
(3) \( \frac{1}{2}[\log a+\log b+4 \log 2] \)
(4) \( \frac{1}{2}[\log a-\log b+4 \log 2] \)


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