{"status": "success", "data": {"description_md": "Find the value of $x$ that satisfies the equation\n$$25^{-2} = \\frac{5^{48/x}}{5^{26/x} \\cdot 25^{17/x}}.$$\n\n$\\textbf{(A) } 2 \\qquad\\textbf{(B) } 3 \\qquad\\textbf{(C) } 5 \\qquad\\textbf{(D) } 6 \\qquad\\textbf{(E) } 9$", "description_html": "<p>Find the value of  <span class=\"katex--inline\">x</span>  that satisfies the equation<br/>\n <span class=\"katex--display\">25^{-2} = \\frac{5^{48/x}}{5^{26/x} \\cdot 25^{17/x}}.</span> </p>\n<p> <span class=\"katex--inline\">\\textbf{(A) } 2 \\qquad\\textbf{(B) } 3 \\qquad\\textbf{(C) } 5 \\qquad\\textbf{(D) } 6 \\qquad\\textbf{(E) } 9</span> </p>\n<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": 1, "problem_name": "2003 AMC 10B Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/03_amc10B_p10", "prev": "/problem/03_amc10B_p08"}}