The value of 6 _1010003 _10100 is equal to -

Answer: Option D

$$\begin{array}{rl}& \frac{6{\log }_{10}1000}{3{\log }_{10}100}\\ & =\frac{6{\log }_{10}{10}^3}{3{\log }_{10}{10}^2}\\ & =\frac{6\times 3{\log }_{10}10}{3\times 2{\log }_{10}10}\\ & =\frac{18}{6}\\ & =3\end{array}$$