{"status": "success", "data": {"description_md": "What is the product of all real numbers $x$ such that the distance on the number line between $\\log_6x$ and $\\log_69$ is twice the distance on the number line between $\\log_610$ and $1$?\n\n$\\textbf{(A) } 10 \\qquad \\textbf{(B) } 18 \\qquad \\textbf{(C) } 25 \\qquad \\textbf{(D) } 36 \\qquad \\textbf{(E) } 81$\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 product of all real numbers  <span class=\"katex--inline\">x</span>  such that the distance on the number line between  <span class=\"katex--inline\">\\log_6x</span>  and  <span class=\"katex--inline\">\\log_69</span>  is twice the distance on the number line between  <span class=\"katex--inline\">\\log_610</span>  and  <span class=\"katex--inline\">1</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) } 10 \\qquad \\textbf{(B) } 18 \\qquad \\textbf{(C) } 25 \\qquad \\textbf{(D) } 36 \\qquad \\textbf{(E) } 81</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": "2022 AMC 12A Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/22_amc12A_p12", "prev": "/problem/22_amc12A_p10"}}