{"id":1135,"date":"2019-07-05T09:14:19","date_gmt":"2019-07-05T13:14:19","guid":{"rendered":"http:\/\/josmfs.net\/?p=1135"},"modified":"2024-04-10T17:03:50","modified_gmt":"2024-04-10T21:03:50","slug":"logging-problem","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2019\/07\/05\/logging-problem\/","title":{"rendered":"Logging Problem"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-1133\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/07\/Logging-Problem-Fig.jpg\" alt=\"\" width=\"156\" height=\"202\" \/>This is a delightful little problem from Dick Hess that exercises one\u2019s basic facility with logarithms:<\/p>\n<p>\u201cDefine x as <br \/><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-1131\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/07\/Logging-Prob-equation.jpg\" alt=\"\" width=\"158\" height=\"22\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/07\/Logging-Prob-equation.jpg 158w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/07\/Logging-Prob-equation-150x22.jpg 150w\" sizes=\"auto, (max-width: 158px) 100vw, 158px\" \/><\/p>\n<p>\u00a0Find an expression for <br \/><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-1132\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/07\/Logging-Prob-log2.jpg\" alt=\"\" width=\"120\" height=\"20\" \/><\/p>\n<p>in terms of x where the only constants appearing are integers.\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/04\/Logging-Problem-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/07\/Logging-Problem-190704.pdf\">Logging Problem<\/a> for a solution.<\/p>\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is a delightful little problem from Dick Hess that exercises one\u2019s basic facility with logarithms: \u201cDefine x as \u00a0Find an expression for in terms of x where the only constants appearing are integers.\u201d Answer. See the Logging Problem 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":[4],"tags":[27],"class_list":["post-1135","post","type-post","status-publish","format-standard","hentry","category-math-inquiries","tag-logarithm"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1135","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=1135"}],"version-history":[{"count":16,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1135\/revisions"}],"predecessor-version":[{"id":3819,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/1135\/revisions\/3819"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=1135"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=1135"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=1135"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}