The value of $f(0)$ so that $f(x)=\large\frac{(4^x-1)^3}{\sin\big(\Large\frac{x}{4}\big) \normalsize {\log}(1+\Large\frac{x^2}{3}\big)}$ is continuous everywhere is

Question

$\begin{array}{1 1}(a)\;3(\log 4)^3&(b)\;4(\log 4)^3\\(c)\;12(\log 4)^3&(d)\;15(\log 4)^3\end{array}$