{"status": "success", "data": {"description_md": "The solution of the equation $7^{x+7} = 8^x$ can be expressed in the form $x = \\log_b 7^7$. What is $b$?\n\n$\\textbf{(A)}\\ \\frac{7}{15} \\qquad \\textbf{(B)}\\ \\frac{7}{8} \\qquad \\textbf{(C)}\\ \\frac{8}{7} \\qquad \\textbf{(D)}\\ \\frac{15}{8} \\qquad \\textbf{(E)}\\ \\frac{15}{7}$\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>The solution of the equation  <span class=\"katex--inline\">7^{x+7} = 8^x</span>  can be expressed in the form  <span class=\"katex--inline\">x = \\log_b 7^7</span> . What is  <span class=\"katex--inline\">b</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ \\frac{7}{15} \\qquad \\textbf{(B)}\\ \\frac{7}{8} \\qquad \\textbf{(C)}\\ \\frac{8}{7} \\qquad \\textbf{(D)}\\ \\frac{15}{8} \\qquad \\textbf{(E)}\\ \\frac{15}{7}</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 12A Problem 11", "can_next": true, "can_prev": true, "nxt": "/problem/10_amc12A_p12", "prev": "/problem/10_amc12A_p10"}}