{"status": "success", "data": {"description_md": "**POTD Normal December 16, 2023**\n**Author:** qgek\n\nThe value of $y$ can be expressed as $m\\sqrt n$, where $m$ and $n$ are relatively prime positive integers. Find $m$ + $n$ if\n$\\log_5(x^2 + 2x - 2) = 0$\n$2\\log_5(x + 2) - \\log_5y +\\frac{1}{2} = 0$", "description_html": "<p><strong>POTD Normal December 16, 2023</strong><br/>&#10;<strong>Author:</strong> qgek</p>&#10;<p>The value of <span class=\"katex--inline\">y</span> can be expressed as <span class=\"katex--inline\">m\\sqrt n</span>, where <span class=\"katex--inline\">m</span> and <span class=\"katex--inline\">n</span> are relatively prime positive integers. Find <span class=\"katex--inline\">m</span> + <span class=\"katex--inline\">n</span> if<br/>&#10;<span class=\"katex--inline\">\\log_5(x^2 + 2x - 2) = 0</span><br/>&#10;<span class=\"katex--inline\">2\\log_5(x + 2) - \\log_5y +\\frac{1}{2} = 0</span></p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "Problem of the Day #27 (Normal)", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}