{"status": "success", "data": {"description_md": "If $(2^a)(2^b) = 64$, then the mean (average) of $a$ and $b$ is\n\n$\\text{(A)}\\ 12\\qquad\\text{(B)}\\ \\frac{5}{2}\\qquad\\text{(C)}\\ \\frac{3}{2}\\qquad\\text{(D)}\\ 3\\qquad\\text{(E)}\\ 8$\n\n___\n\n**[Fermat](https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf), by [CEMC](https://cemc.uwaterloo.ca/), is licensed under the [CC BY-NC 3.0 DEED](https://creativecommons.org/licenses/by-nc/3.0/). They are not affiliated with or endorse TopsOJ in any way.**\n", "description_html": "<p>If <span class=\"katex--inline\">(2^a)(2^b) = 64</span>, then the mean (average) of <span class=\"katex--inline\">a</span> and <span class=\"katex--inline\">b</span> is</p>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 12\\qquad\\text{(B)}\\ \\frac{5}{2}\\qquad\\text{(C)}\\ \\frac{3}{2}\\qquad\\text{(D)}\\ 3\\qquad\\text{(E)}\\ 8</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Fermat</a>, by <a href=\"https://cemc.uwaterloo.ca/\">CEMC</a>, is licensed under the <a href=\"https://creativecommons.org/licenses/by-nc/3.0/\">CC BY-NC 3.0 DEED</a>. They are not affiliated with or endorse TopsOJ in any way.</strong></p>\n", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "2012 Fermat Problem 10", "can_next": true, "can_prev": true, "nxt": "/problem/12_fermat_p11", "prev": "/problem/12_fermat_p09"}}