{"status": "success", "data": {"description_md": "**POTD May 10, 2024**\n\nLet $a = 256.$ If the unique real number $x > a^2$ such that $\\log_a \\log_a \\log_a x = \\log_{a^2} \\log_{a^2} \\log_{a^2} x$ can be written as $n$, find $\\log_2 n$.", "description_html": "<p><strong>POTD May 10, 2024</strong></p>&#10;<p>Let <span class=\"katex--inline\">a = 256.</span> If the unique real number <span class=\"katex--inline\">x &gt; a^2</span> such that <span class=\"katex--inline\">\\log_a \\log_a \\log_a x = \\log_{a^2} \\log_{a^2} \\log_{a^2} x</span> can be written as <span class=\"katex--inline\">n</span>, find <span class=\"katex--inline\">\\log_2 n</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Problem of the Day #152", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}