Practice (28)

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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?


Which number is larger: $5^{4321}$ or $4^{5321}$?


Compute $\sqrt[32]{259\times 23\times 11 +9}$.


Simplify: $\left(\frac{1-\sqrt{5}}{2}\right)^{12}$.