{"status": "success", "data": {"description_md": "Determine the number of ordered pairs $(a,b)$ of integers such that $\\log_a b + 6\\log_b a=5$, $2 \\leq a \\leq 2005$, and $2 \\leq b \\leq 2005$.\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": "<p>Determine the number of ordered pairs <span class=\"katex--inline\">(a,b)</span> of integers such that <span class=\"katex--inline\">\\log_a b + 6\\log_b a=5</span>, <span class=\"katex--inline\">2 \\leq a \\leq 2005</span>, and <span class=\"katex--inline\">2 \\leq b \\leq 2005</span>.</p>&#10;<hr><p>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code>. Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2005 AIME II Problem 5", "can_next": true, "can_prev": true, "nxt": "/problem/05_aime_II_p06", "prev": "/problem/05_aime_II_p04"}}