{"status": "success", "data": {"description_md": "What is the value of $a$ for which $\\frac{1}{\\log_2 a} + \\frac{1}{\\log_3 a} + \\frac{1}{\\log_4 a} = 1$?\n\n$\\textbf{(A)}\\ 9\\qquad\\textbf{(B)}\\ 12\\qquad\\textbf{(C)}\\ 18\\qquad\\textbf{(D)}\\ 24\\qquad\\textbf{(E)}\\ 36$\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>What is the value of  <span class=\"katex--inline\">a</span>  for which  <span class=\"katex--inline\">\\frac{1}{\\log_2 a} + \\frac{1}{\\log_3 a} + \\frac{1}{\\log_4 a} = 1</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 9\\qquad\\textbf{(B)}\\ 12\\qquad\\textbf{(C)}\\ 18\\qquad\\textbf{(D)}\\ 24\\qquad\\textbf{(E)}\\ 36</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": "2015 AMC 12A Problem 14", "can_next": true, "can_prev": true, "nxt": "/problem/15_amc12A_p15", "prev": "/problem/15_amc12A_p13"}}