{"status": "success", "data": {"description_md": "What is the value of $$(\\log 5)^3+(\\log 20)^3+(\\log 8)(\\log 0.25)$$ where $\\log$ denotes the base-ten logarithm?\n\n$\\textbf{(A) } \\frac{3}{2} \\qquad \\textbf{(B) } \\frac{7}{4} \\qquad \\textbf{(C) } 2 \\qquad \\textbf{(D) } \\frac{9}{4} \\qquad \\textbf{(E) } 3$\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\">(\\log 5)^3+(\\log 20)^3+(\\log 8)(\\log 0.25)</span>  where  <span class=\"katex--inline\">\\log</span>  denotes the base-ten logarithm?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) } \\frac{3}{2} \\qquad \\textbf{(B) } \\frac{7}{4} \\qquad \\textbf{(C) } 2 \\qquad \\textbf{(D) } \\frac{9}{4} \\qquad \\textbf{(E) } 3</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 14", "can_next": true, "can_prev": true, "nxt": "/problem/22_amc12A_p15", "prev": "/problem/22_amc12A_p13"}}