AHSME 1979 Problem 18

To the nearest thousandth, $\log_{10}2$ is $.301$ and $\log_{10}3$ is $.477$. Which of the following is the best approximation of $\log_5 10$? $\textbf{(A) }\frac{8}{7} \textbf{(B) }\frac{9}{7} \textbf{(C) }\frac{10}{7} \textbf{(D) }\frac{11}{7} \textbf{(E) }\frac{12}{7}$