{"id":20257,"date":"2017-02-27T03:14:47","date_gmt":"2017-02-27T03:14:47","guid":{"rendered":"http:\/\/www.oracletutoring.ca\/blog\/?p=20257"},"modified":"2017-02-27T03:14:47","modified_gmt":"2017-02-27T03:14:47","slug":"math-chemistry-conversion-of-natural-logarithm-ln-to-log-base-10","status":"publish","type":"post","link":"https:\/\/www.oracletutoring.ca\/blog\/math-chemistry-conversion-of-natural-logarithm-ln-to-log-base-10\/","title":{"rendered":"Math, chemistry:  conversion of natural  logarithm (ln) to log base 10"},"content":{"rendered":"<h1>The tutor tells a quick hint about calculations with logs.<\/h1>\n<p>Although base e log (ln) is often used, some lab scientists prefer base 10 log (aka, common log or simply &#8220;log&#8221;).  Typically, of course, logx is assumed to be base 10.  What&#8217;s an easy way to convert from lny to logy?<\/p>\n<p>By the change of base formula (see my post <a href=\"?p=11004\">here<\/a>), log<sub>a<\/sub>b=logb\/loga.<\/p>\n<p>Therefore, logy=log<sub>10<\/sub>y=lny\/ln10=lny\/2.303<\/p>\n<p>You&#8217;ll sometimes see 2.303 in a chemistry calculation:)<\/p>\n<p>Source:<\/p>\n<p>Mortimer, Charles E.  <u>Chemistry<\/u>, sixth edition.  Belmont:  Wadsworth, 1986.<\/p>\n<p>Jack of <a href=\"https:\/\/www.oracletutoring.ca\">Oracle Tutoring by Jack and Diane,<\/a> Campbell River, BC.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The tutor tells a quick hint about calculations with logs. Although base e log (ln) is often used, some lab scientists prefer base 10 log (aka, common log or simply &#8220;log&#8221;). Typically, of course, logx is assumed to be base &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/www.oracletutoring.ca\/blog\/math-chemistry-conversion-of-natural-logarithm-ln-to-log-base-10\/\"> <span class=\"screen-reader-text\">Math, chemistry:  conversion of natural  logarithm (ln) to log base 10<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11,3],"tags":[2153,2152],"class_list":["post-20257","post","type-post","status-publish","format-standard","hentry","category-chemistry","category-math","tag-base-e-log","tag-conversion-of-natural-log-to-common-log"],"_links":{"self":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/20257","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/comments?post=20257"}],"version-history":[{"count":18,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/20257\/revisions"}],"predecessor-version":[{"id":20275,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/20257\/revisions\/20275"}],"wp:attachment":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/media?parent=20257"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/categories?post=20257"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/tags?post=20257"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}