{"status": "success", "data": {"description_md": "Let $x$ be a real number, such that $49^x + 4^x + 81^x = 63^x + 18^x + 14^x.$ Find the sum of all possible values of $x$.", "description_html": "<p>Let <span class=\"katex--inline\">x</span> be a real number, such that <span class=\"katex--inline\">49^x + 4^x + 81^x = 63^x + 18^x + 14^x.</span> Find the sum of all possible values of <span class=\"katex--inline\">x</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 5, "problem_name": "Christmas Contest - Guts Round - Set 8 Problem 2", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}