2022 AMC 12A Problem 11

What is the product of all real numbers x such that the distance on the number line between \log_6x and \log_69 is twice the distance on the number line between \log_610 and 1?

\textbf{(A) } 10 \qquad \textbf{(B) } 18 \qquad \textbf{(C) } 25 \qquad \textbf{(D) } 36 \qquad \textbf{(E) } 81

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