{"status": "success", "data": {"description_md": "What is the value of$$\\frac{\\log_2 80}{\\log_{40}2}-\\frac{\\log_2 160}{\\log_{20}2}?$$\n\n$\\textbf{(A) }0 \\qquad \\textbf{(B) }1 \\qquad \\textbf{(C) }\\frac54 \\qquad \\textbf{(D) }2 \\qquad \\textbf{(E) }\\log_2 5$\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--display\">\\frac{\\log_2 80}{\\log_{40}2}-\\frac{\\log_2 160}{\\log_{20}2}?</span> </p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) }0 \\qquad \\textbf{(B) }1 \\qquad \\textbf{(C) }\\frac54 \\qquad \\textbf{(D) }2 \\qquad \\textbf{(E) }\\log_2 5</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": 2, "problem_name": "2021 AMC 12B Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/21_amc12B_p10", "prev": "/problem/21_amc12B_p08"}}