2020 AMC 12A Problem 17

The vertices of a quadrilateral lie on the graph of y = \ln x, and the x-coordinates of these vertices are consecutive positive integers. The area of the quadrilateral is \ln \frac{91}{90}. What is the x-coordinate of the leftmost vertex?

\textbf{(A)}\ 6\qquad\textbf{(B)}\ 7\qquad\textbf{(C)}\ 10\qquad\textbf{(D)}\ 12\qquad\textbf{(E)}\ 13

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