$\begin{array}{1 1} (A)\;\log\bigg|\large\frac{\log \sqrt {x+3}}{\log(x-1)^{1/6} \times \log (x+2)^{1/3}}\bigg| \\(B)\;\log\bigg|\large\frac{\log x-3}{\log(x-1)^{1/6} \times \log (x+2)^{1/3}}\bigg|+c \\ (C)\;\log\bigg|\large\frac{\log \sqrt {x-3}}{\log(x-1)^{1/6} \times \log (x+2)^{1/3}}\bigg|+c \\(D)\;\log\bigg|\large\frac{\log \sqrt {x-3}}{\log(x+1)^{1/6} \times \log (x-2)^{1/3}}\bigg|+c \end{array} $