{"id":2674,"date":"2022-04-30T07:54:24","date_gmt":"2022-04-30T11:54:24","guid":{"rendered":"https:\/\/josmfs.net\/?p=2674"},"modified":"2024-04-06T13:32:58","modified_gmt":"2024-04-06T17:32:58","slug":"log-jam","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2022\/04\/30\/log-jam\/","title":{"rendered":"Log Jam"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-2672\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/04\/Log-Jam-Fig2.jpg\" alt=\"\" width=\"203\" height=\"161\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/04\/Log-Jam-Fig2.jpg 400w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/04\/Log-Jam-Fig2-300x238.jpg 300w\" sizes=\"auto, (max-width: 203px) 100vw, 203px\" \/>Here is a tricky little logarithm problem from the 2021 Math Calendar.<\/p>\n<p>\u201cFind <em>x<\/em>, where<\/p>\n<p style=\"text-align: center;\">log<sub>2<\/sub>(log<sub>4<\/sub>(<em>x<\/em>)) = log<sub>4<\/sub>(log<sub>2<\/sub>(<em>x<\/em>))\u201d<\/p>\n<p>As before, recall that all the answers are integer days of the month.<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Log-Jam-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2022\/04\/Log-Jam-211029.pdf\">Log Jam<\/a> for a solution.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Here is a tricky little logarithm problem from the 2021 Math Calendar. \u201cFind x, where log2(log4(x)) = log4(log2(x))\u201d As before, recall that all the answers are integer days of the month. Answer. See Log Jam for a solution.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[133,27,183],"class_list":["post-2674","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-algebra","tag-logarithm","tag-math-calendar"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2674","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=2674"}],"version-history":[{"count":2,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2674\/revisions"}],"predecessor-version":[{"id":3624,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/2674\/revisions\/3624"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=2674"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=2674"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=2674"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}