Usually log10<\/sub>x can be written as logx.<\/p>\n So the definition of logarithm is as follows.<\/p>\n loga<\/sub>x = y \u2194ay<\/sup> = x.<\/em><\/strong><\/p>\n Example:<\/strong><\/p>\n 23<\/sup>=8 ==> log2<\/sub>8 = 3.<\/p>\n Since logarithmic function is the inverse function of exponential function, the range of the logarithmic function is the domain of the exponential function which is the set of all real numbers R.<\/p>\n Also, the domain of the logarithmic function would be the range of the exponential function which is the set of all positive real numbers.<\/p>\n Let f(x) and g(x) be the logarithmic functions such that a>1 for f(x) and 0<a<1 for g(x).<\/p>\n From the graph we can observe that,<\/p>\n (1)\u00a0\u00a0\u00a0 The domain is the set of positive real numbers and range is the set of real numbers.<\/p>\n (2)\u00a0\u00a0\u00a0 The function increases if a>1 and decreases if 0<a<1.<\/p>\n (3)\u00a0\u00a0\u00a0 The function is continuous.<\/p>\n (4)\u00a0\u00a0\u00a0 The vertical asymptote for the graphs is y-axis.<\/p>\n Do you also need help with French? Take a look at our French tutoring services.<\/a><\/p>\n SchoolTutoring Academy<\/span> is the premier educational services company for K-12 and college students. We offer tutoring programs for students in K-12, AP classes, and college. To learn more about how we help parents and students in New-Brunswick visit: Tutoring in New-Brunswick. <\/a><\/p>\n","protected":false},"excerpt":{"rendered":" A logarithmic function is basically the inverse of an exponential function. Take a >0 and a\u22601. \u00a0Then the inverse of the function f:R\u00e0R defined fy f(x)=ax is logax which is called as logarithm of x with base a. Usually log10x can be written as logx. So the definition of logarithm is as follows. logax = […]<\/p>\n","protected":false},"author":19,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[2],"tags":[540,632,744,1060,1481,1497],"class_list":["post-4626","post","type-post","status-publish","format-standard","hentry","category-algebra","tag-domain","tag-exponential","tag-graph","tag-logarithm","tag-range","tag-real-number"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/4626","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/comments?post=4626"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/4626\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/media?parent=4626"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/categories?post=4626"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/tags?post=4626"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Domain and range of logarithmic function:<\/strong><\/h4>\n
Graph of a logarithmic function:<\/strong><\/h4>\n
![\"\"](\"https:\/\/SchoolTutoring.com\/wp-content\/uploads\/sites\/8\/2012\/10\/logarithm1.jpg\" "\\"logarithm1\\"")
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