{"status": "success", "data": {"description_md": "Consider $A = \\log (2013 + \\log (2012 + \\log (2011 + \\log (\\cdots + \\log (3 + \\log 2) \\cdots ))))$. Which of the following intervals contains $A$?\n\n$\\textbf{(A)} \\ (\\log 2016, \\log 2017)$\n\n$\\textbf{(B)} \\ (\\log 2017, \\log 2018)$\n\n$\\textbf{(C)} \\ (\\log 2018, \\log 2019)$\n\n$\\textbf{(D)} \\ (\\log 2019, \\log 2020)$\n\n$\\textbf{(E)} \\ (\\log 2020, \\log 2021)$\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>Consider  <span class=\"katex--inline\">A = \\log (2013 + \\log (2012 + \\log (2011 + \\log (\\cdots + \\log (3 + \\log 2) \\cdots ))))</span> . Which of the following intervals contains  <span class=\"katex--inline\">A</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)} \\ (\\log 2016, \\log 2017)</span> </p>&#10;<p> <span class=\"katex--inline\">\\textbf{(B)} \\ (\\log 2017, \\log 2018)</span> </p>&#10;<p> <span class=\"katex--inline\">\\textbf{(C)} \\ (\\log 2018, \\log 2019)</span> </p>&#10;<p> <span class=\"katex--inline\">\\textbf{(D)} \\ (\\log 2019, \\log 2020)</span> </p>&#10;<p> <span class=\"katex--inline\">\\textbf{(E)} \\ (\\log 2020, \\log 2021)</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": 5, "problem_name": "2013 AMC 12A Problem 21", "can_next": true, "can_prev": true, "nxt": "/problem/13_amc12A_p22", "prev": "/problem/13_amc12A_p20"}}