{"status": "success", "data": {"description_md": "For what value of $x$ does\n\n$$\\log_{\\sqrt{2}}\\sqrt{x}+\\log_{2}{x}+\\log_{4}{x^2}+\\log_{8}{x^3}+\\log_{16}{x^4}=40?$$\n\n$\\textbf{(A)}\\ 8 \\qquad \\textbf{(B)}\\ 16 \\qquad \\textbf{(C)}\\ 32 \\qquad \\textbf{(D)}\\ 256 \\qquad \\textbf{(E)}\\ 1024$\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>For what value of  <span class=\"katex--inline\">x</span>  does</p>&#10;<p> <span class=\"katex--display\">\\log_{\\sqrt{2}}\\sqrt{x}+\\log_{2}{x}+\\log_{4}{x^2}+\\log_{8}{x^3}+\\log_{16}{x^4}=40?</span> </p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ 8 \\qquad \\textbf{(B)}\\ 16 \\qquad \\textbf{(C)}\\ 32 \\qquad \\textbf{(D)}\\ 256 \\qquad \\textbf{(E)}\\ 1024</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": "2010 AMC 12B Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/10_amc12B_p13", "prev": "/problem/10_amc12B_p11"}}