{"status": "success", "data": {"description_md": "In an isosceles trapezoid, the parallel bases have lengths $\\log3$ and $\\log192$, and the altitude to these bases has length $\\log16$. The perimeter of the trapezoid can be written in the form $\\log2^p3^q$, where $p$ and $q$ are positive integers. Find $p+q$.\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "

In an isosceles trapezoid, the parallel bases have lengths \\log3 and \\log192, and the altitude to these bases has length \\log16. The perimeter of the trapezoid can be written in the form \\log2^p3^q, where p and q are positive integers. Find p+q.

Leading zeroes must be inputted, so if your answer is 34, then input 034. Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.

", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2015 AIME II Problem 4", "can_next": true, "can_prev": true, "nxt": "/problem/15_aime_II_p05", "prev": "/problem/15_aime_II_p03"}}