$\lim _{x \rightarrow 0} \frac{\tan 2 x-2 \tan x}{(1-\cos x)\left(2^x-1\right)}=$

• A

  $\frac{2}{\log 2}$
• B

  $\frac{1}{\log 4}$
• C

  $4 \log 2$
• Correct answer
  D

  $\frac{4}{\log 2}$

Hence, the correct answer is option: 'D'.