{"status": "success", "data": {"description_md": "For how many positive integers $x$ is $\\log_{10}(x-40) + \\log_{10}(60-x) < 2$ ?\n\n$\\textbf{(A) }10\\qquad<br>\\textbf{(B) }18\\qquad<br>\\textbf{(C) }19\\qquad<br>\\textbf{(D) }20\\qquad<br>\\textbf{(E) }\\text{infinitely many}\\qquad$\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 how many positive integers  <span class=\"katex--inline\">x</span>  is  <span class=\"katex--inline\">\\log_{10}(x-40) + \\log_{10}(60-x) &lt; 2</span>  ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) }10\\qquad\\textbf{(B) }18\\qquad\\textbf{(C) }19\\qquad\\textbf{(D) }20\\qquad\\textbf{(E) }\\text{infinitely many}\\qquad</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": "2014 AMC 12B Problem 20", "can_next": true, "can_prev": true, "nxt": "/problem/14_amc12B_p21", "prev": "/problem/14_amc12B_p19"}}