1979 AHSME 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}\qquad \textbf{(B) }\frac{9}{7}\qquad \textbf{(C) }\frac{10}{7}\qquad \textbf{(D) }\frac{11}{7}\qquad \textbf{(E) }\frac{12}{7}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.