{"status": "success", "data": {"description_md": "The sum of the base-$10$ logarithms of the divisors of $10^n$ is $792$. What is $n$?\n\n$\\textbf{(A)}\\ 11\\qquad \\textbf{(B)}\\ 12\\qquad \\textbf{(C)}\\ 13\\qquad \\textbf{(D)}\\ 14\\qquad \\textbf{(E)}\\ 15$<br>\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>The sum of the base-<span class=\"katex--inline\">10</span> logarithms of the divisors of <span class=\"katex--inline\">10^n</span> is <span class=\"katex--inline\">792</span>. What is <span class=\"katex--inline\">n</span>?</p>&#10;<p><span class=\"katex--inline\">\\textbf{(A)}\\ 11\\qquad \\textbf{(B)}\\ 12\\qquad \\textbf{(C)}\\ 13\\qquad \\textbf{(D)}\\ 14\\qquad \\textbf{(E)}\\ 15</span><br/></p>&#10;<hr/>&#10;<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>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 5, "problem_name": "2008 AMC 12B Problem 23", "can_next": true, "can_prev": true, "nxt": "/problem/08_amc12B_p24", "prev": "/problem/08_amc12B_p22"}}