If $a^2 + 4b^2 = 12ab,$ then $\log(a + 2b)$ is

  • A
    $\frac{1}{2}[\log a + \log b - \log 2]$
  • 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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