{"status": "success", "data": {"description_md": "Suppose that $4^{x_1}=5$, $5^{x_2}=6$, $6^{x_3}=7$, ... , $127^{x_{124}}=128$.  What is $x_1x_2...x_{124}$?\n\n$\\mathrm{(A)}\\ {{{2}}} \\qquad \\mathrm{(B)}\\ {{{\\frac{5}{2}}}} \\qquad \\mathrm{(C)}\\ {{{3}}} \\qquad \\mathrm{(D)}\\ {{{\\frac{7}{2}}}} \\qquad \\mathrm{(E)}\\ {{{4}}}$\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>Suppose that  <span class=\"katex--inline\">4^{x_1}=5</span> ,  <span class=\"katex--inline\">5^{x_2}=6</span> ,  <span class=\"katex--inline\">6^{x_3}=7</span> , &#8230; ,  <span class=\"katex--inline\">127^{x_{124}}=128</span> .  What is  <span class=\"katex--inline\">x_1x_2...x_{124}</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\mathrm{(A)}\\ {{{2}}} \\qquad \\mathrm{(B)}\\ {{{\\frac{5}{2}}}} \\qquad \\mathrm{(C)}\\ {{{3}}} \\qquad \\mathrm{(D)}\\ {{{\\frac{7}{2}}}} \\qquad \\mathrm{(E)}\\ {{{4}}}</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": "2005 AMC 12B Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/05_amc12B_p14", "prev": "/problem/05_amc12B_p12"}}