{"status": "success", "data": {"description_md": "For all positive integers $n$, let $f(n)=\\log_{2002} n^2$. Let $N=f(11)+f(13)+f(14)$. Which of the following relations is true?\n\n$\\text{(A) }N<1<br>\\qquad<br>\\text{(B) }N=1<br>\\qquad<br>\\text{(C) }1<N<2<br>\\qquad<br>\\text{(D) }N=2<br>\\qquad<br>\\text{(E) }N>2$\n___\nFull 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>For all positive integers  <span class=\"katex--inline\">n</span> , let  <span class=\"katex--inline\">f(n)=\\log_{2002} n^2</span> . Let  <span class=\"katex--inline\">N=f(11)+f(13)+f(14)</span> . Which of the following relations is true?</p>&#10;<p> <span class=\"katex--inline\">\\text{(A) }N&lt;1\\qquad\\text{(B) }N=1\\qquad\\text{(C) }1&lt;N&lt;2\\qquad\\text{(D) }N=2\\qquad\\text{(E) }N&gt;2</span> </p>&#10;<hr><p>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": "2002 AMC 12A Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/02_amc12A_p15", "prev": "/problem/02_amc12A_p13"}}