{"id":7295,"date":"2021-12-30T09:04:09","date_gmt":"2021-12-30T09:04:09","guid":{"rendered":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/?page_id=7295"},"modified":"2021-12-30T17:34:59","modified_gmt":"2021-12-30T17:34:59","slug":"the-value-of-log-0-with-base-10-and-e","status":"publish","type":"page","link":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/the-value-of-log-0-with-base-10-and-e\/","title":{"rendered":"The Value of log 0 with base 10 and e"},"content":{"rendered":"<p>[et_pb_section fb_built=&#8221;1&#8243; admin_label=&#8221;Section&#8221; module_class=&#8221;mainsec&#8221; _builder_version=&#8221;4.10.4&#8243; _module_preset=&#8221;default&#8221; background_color=&#8221;#e0f2fd&#8221; z_index=&#8221;1&#8243; custom_padding=&#8221;5px||5px||true|false&#8221; locked=&#8221;off&#8221; collapsed=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_row column_structure=&#8221;3_5,2_5&#8243; custom_padding_last_edited=&#8221;on|phone&#8221; _builder_version=&#8221;4.10.8&#8243; _module_preset=&#8221;default&#8221; background_color=&#8221;#FFFFFF&#8221; width=&#8221;100%&#8221; max_width=&#8221;1310px&#8221; custom_padding=&#8221;|51px|40px|51px|false|true&#8221; custom_padding_tablet=&#8221;&#8221; custom_padding_phone=&#8221;|40px|30px|40px|false|true&#8221; border_radii=&#8221;on|10px|10px|10px|10px&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;3_5&#8243; admin_label=&#8221;Column L&#8221; _builder_version=&#8221;4.9.10&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_text admin_label=&#8221;Acute Angles<br \/>\n&#8221; _builder_version=&#8221;4.11.3&#8243; _module_preset=&#8221;default&#8221; header_font=&#8221;|700|||||||&#8221; header_text_align=&#8221;left&#8221; header_font_size=&#8221;50px&#8221; header_line_height=&#8221;1.18em&#8221; custom_padding=&#8221;|0px||4px|false|false&#8221; header_font_size_tablet=&#8221;&#8221; header_font_size_phone=&#8221;35px&#8221; header_font_size_last_edited=&#8221;on|phone&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h1>The Value of log 0 with base 10 and e <\/h1>\n<p>[\/et_pb_text][et_pb_text admin_label=&#8221;Text&#8221; _builder_version=&#8221;4.13.1&#8243; _module_preset=&#8221;default&#8221; text_font_size=&#8221;16px&#8221; header_2_font=&#8221;|600|||||||&#8221; header_2_text_color=&#8221;#a01414&#8243; header_3_font=&#8221;|600|||||||&#8221; custom_padding=&#8221;15px|15px|54px|4px|false|false&#8221; hover_enabled=&#8221;0&#8243; global_colors_info=&#8221;{}&#8221; sticky_enabled=&#8221;0&#8243;]<\/p>\n<h2><b>How do you determine the value of Log 0?<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">Before determining the value of Log 0 let\u2019s understand the basics of a logarithmic function.<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><\/span><\/p>\n<h2><b>What is a Logarithmic Function?<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">In mathematics, Logarithmic Function is known to be the inverse function of an exponential function.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">The logarithmic function is usually defined as:<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\log _{a} b=x<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\">The equivalent exponential form of the log function is:<\/span><\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">a^{x}=b<\/span>\n<p><span style=\"font-weight: 400;\">Here, <strong>x<\/strong> is the log of a number <strong>b<\/strong>, and <strong>a<\/strong> is the base of the logarithmic function.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">And, <\/span><b>a<\/b><span style=\"font-weight: 400;\"> is a positive integer and <\/span><b>a<\/b><span style=\"font-weight: 400;\"> \u22601.<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><\/span><\/p>\n<p><span style=\"font-weight: 400;\">The logarithmic function has two types, which are:<\/span><\/p>\n<p><b>(1)<\/b><strong> Common Logarithmic Function<\/strong><\/p>\n<p><b>(2)<\/b><strong> Natural Logarithmic Function<\/strong><\/p>\n<p><span style=\"font-weight: 400;\"><\/span><\/p>\n<h3><b>Common Logarithmic Function<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">The function which uses \u201810\u2019 as the base is a common logarithmic function.<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\log _{a} b=x \\Rightarrow a^{x}=b <\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\"><br \/><span class=\"katex-eq\" data-katex-display=\"false\">\\log _{10} b=x \\Rightarrow 10^{x}=b, \\text { [Putting base, } \\mathrm{a}=10 \\text { ] }\n<\/span><br \/><\/span><\/p>\n<p><span style=\"font-weight: 400;\"><\/span><\/p>\n<h3><b>Natural Logarithmic Function<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">In this log function, the base used is \u2018e\u2019.<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\"> \\log _{a} b=x \\Rightarrow a^{x}=b <\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\"><br \/><span class=\"katex-eq\" data-katex-display=\"false\">\\log _{e} b=x \\Rightarrow e^{x}=b, \\text { [Putting base, } \\mathrm{a}=\\mathrm{e} \\text { ] }\n<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\">Natural Logarithm is usually represented as \u2018Ln\u2019.<\/span><\/p>\n<p>&nbsp;<\/p>\n<h2><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\log _{10} 0<\/span><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">As per the definition of logarithmic function:<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\log _{a} b=x \\Rightarrow a^{x}=b<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\"><br \/><span class=\"katex-eq\" data-katex-display=\"false\">\\text{Put } \\mathrm{a}=10 \\text{ and }\\mathrm{b}=0<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\"><br \/><span class=\"katex-eq\" data-katex-display=\"false\">\\log _{10} 0=x \\Rightarrow 10^{x}=0<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\">We know that the real log function is defined only for b<\/span><span style=\"font-weight: 400;\"> &gt; 0.<\/span><span style=\"font-weight: 400;\"><\/span><\/p>\n<p><span style=\"font-weight: 400;\">Therefore, it is impossible to determine the value of x for which <\/span><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">10^x=0<\/span><\/span><span style=\"font-weight: 400;\">.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Hence, log 0 to the base 10 is undefined.<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><\/span><\/p>\n<h2><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\log _{e} 0 \\text { or } \\ln 0<\/span><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">As per the definition of logarithmic function:<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\log _{a} b=x \\Rightarrow a^{x}=b<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\"><br \/><span class=\"katex-eq\" data-katex-display=\"false\">\\text{Put } \\mathrm{a}=e \\text{ and } \\mathrm{b}=0<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\"><br \/><span class=\"katex-eq\" data-katex-display=\"false\">\\log _{e} 0=x \\Rightarrow e^{x}=0<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\">We know that the real log function is defined only for b<\/span><span style=\"font-weight: 400;\"> &gt; 0.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Therefore, it is impossible to determine the value of x for which <span class=\"katex-eq\" data-katex-display=\"false\">e^x=0<\/span><\/span><span style=\"font-weight: 400;\">.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Hence the value of <span class=\"katex-eq\" data-katex-display=\"false\">\\log_{e}0 \\text{ or }\\ln 0<\/span> is undefined.<\/span><\/p>\n<p><b>Note<\/b><span style=\"font-weight: 400;\">: Here \u2018<\/span><b>e<\/b><span style=\"font-weight: 400;\">\u2019 is an exponential constant and its value is <\/span><b>2.7182818<\/b><span style=\"font-weight: 400;\"> (rounded to 7 digits). It is an important mathematical constant used to ease out exponential calculations.<\/span><\/p>\n<h2><\/h2>\n<h2><span style=\"font-weight: 400;\"><strong>Log Table<\/strong><br \/><\/span><\/h2>\n<p><span style=\"font-weight: 400;\">The table below gives the value of the common and natural logarithm of numbers from 1 to 10.<strong><br \/><\/strong><\/span><\/p>\n<p><span style=\"font-weight: 400;\"><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-weight: 400;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/eistudymaterial.s3.amazonaws.com\/LOG-0-VALUE-01-300x184.png\" width=\"458\" height=\"281\" alt=\"\" class=\"wp-image-7304 alignnone size-medium\" srcset=\"https:\/\/eistudymaterial.s3.amazonaws.com\/LOG-0-VALUE-01-300x184.png 300w, https:\/\/eistudymaterial.s3.amazonaws.com\/LOG-0-VALUE-01-480x295.png 480w, https:\/\/eistudymaterial.s3.amazonaws.com\/LOG-0-VALUE-01.png 742w\" sizes=\"(max-width: 458px) 100vw, 458px\" \/><\/span><\/p>\n<h3><\/h3>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-weight: 400;\"><\/span><\/p>\n<p>[\/et_pb_text][\/et_pb_column][et_pb_column type=&#8221;2_5&#8243; module_id=&#8221;stickysideR&#8221; admin_label=&#8221;Column R&#8221; _builder_version=&#8221;4.10.4&#8243; _module_preset=&#8221;default&#8221; background_color=&#8221;#fdefe0&#8243; custom_padding=&#8221;25px|25px|25px|25px|true|true&#8221; sticky_position=&#8221;top&#8221; sticky_offset_top=&#8221;-280px&#8221; sticky_limit_top=&#8221;row&#8221; sticky_limit_bottom=&#8221;row&#8221; sticky_position_tablet=&#8221;none&#8221; sticky_position_phone=&#8221;none&#8221; sticky_position_last_edited=&#8221;on|desktop&#8221; sticky_limit_bottom_tablet=&#8221;&#8221; sticky_limit_bottom_phone=&#8221;&#8221; sticky_limit_bottom_last_edited=&#8221;on|phone&#8221; border_radii=&#8221;on|15px|15px|15px|15px&#8221; box_shadow_style=&#8221;preset3&#8243; global_colors_info=&#8221;{}&#8221;][et_pb_image src=&#8221;https:\/\/eistudymaterial.s3.amazonaws.com\/1080&#215;1080.png&#8221; alt=&#8221;Free Trial banner&#8221; title_text=&#8221;Mindspark Free Trial Banner&#8221; url=&#8221;https:\/\/mindspark.in\/free-trial&#8221; align=&#8221;center&#8221; module_class=&#8221;adsimg&#8221; _builder_version=&#8221;4.11.1&#8243; _module_preset=&#8221;default&#8221; custom_padding=&#8221;||||false|false&#8221; border_radii=&#8221;on|10px|10px|10px|10px&#8221; global_colors_info=&#8221;{}&#8221; transform_styles__hover_enabled=&#8221;on|hover&#8221; transform_scale__hover_enabled=&#8221;on|hover&#8221; transform_translate__hover_enabled=&#8221;on|desktop&#8221; transform_rotate__hover_enabled=&#8221;on|desktop&#8221; transform_skew__hover_enabled=&#8221;on|desktop&#8221; transform_origin__hover_enabled=&#8221;on|desktop&#8221; transform_scale__hover=&#8221;102%|102%&#8221;][\/et_pb_image][et_pb_text admin_label=&#8221;Explore Other Topics<br \/>\n&#8221; _builder_version=&#8221;4.9.11&#8243; _module_preset=&#8221;default&#8221; header_font=&#8221;|700|||||||&#8221; header_font_size=&#8221;25px&#8221; text_orientation=&#8221;center&#8221; custom_margin=&#8221;0px||0px||true|false&#8221; custom_padding=&#8221;8px|15px|0px|15px|false|true&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<h1>Explore Other Topics<\/h1>\n<p>[\/et_pb_text][et_pb_text _builder_version=&#8221;4.10.7&#8243; _module_preset=&#8221;default&#8221; text_line_height=&#8221;2.2em&#8221; link_font_size=&#8221;16px&#8221; custom_margin=&#8221;||0px||false|false&#8221; custom_padding=&#8221;10px|15px|10px|28px|true|false&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<div>\n<div class=\"trr\"><a href=\"https:\/\/stgwebsite.mindspark.in\/wordpress\/math-concepts\/#geometry\" class=\"otherc\">Geometry<\/a><\/div>\n<div class=\"trr\"><a href=\"https:\/\/stgwebsite.mindspark.in\/wordpress\/math-concepts\/#trigonometry\" class=\"otherc\">Trigonometry<\/a><\/div>\n<div class=\"trr\"><a href=\"https:\/\/stgwebsite.mindspark.in\/wordpress\/math-concepts\/#operations\" class=\"otherc\">Operations<\/a><\/div>\n<div class=\"trr\"><a href=\"https:\/\/stgwebsite.mindspark.in\/wordpress\/math-concepts\/#numbers\" class=\"otherc\">Numbers<\/a><\/div>\n<\/div>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row admin_label=&#8221;Row for space&#8221; _builder_version=&#8221;4.10.6&#8243; _module_preset=&#8221;default&#8221; locked=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;4.9.11&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_divider show_divider=&#8221;off&#8221; _builder_version=&#8221;4.10.4&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][\/et_pb_divider][\/et_pb_column][\/et_pb_row][\/et_pb_section][et_pb_section fb_built=&#8221;1&#8243; admin_label=&#8221;banner and faq Section&#8221; module_class=&#8221;mainsec2&#8243; _builder_version=&#8221;4.10.4&#8243; _module_preset=&#8221;default&#8221; custom_padding=&#8221;40px||0px||false|false&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_row use_custom_gutter=&#8221;on&#8221; gutter_width=&#8221;1&#8243; make_equal=&#8221;on&#8221; disabled_on=&#8221;on|on|off&#8221; admin_label=&#8221;banner Row&#8221; _builder_version=&#8221;4.10.4&#8243; _module_preset=&#8221;default&#8221; background_color=&#8221;#fff7d6&#8243; width=&#8221;100%&#8221; max_width=&#8221;1310px&#8221; height=&#8221;134px&#8221; custom_margin=&#8221;||50px||false|false&#8221; custom_padding=&#8221;12px||12px||true|false&#8221; border_radii=&#8221;on|11px|11px|11px|11px&#8221; locked=&#8221;off&#8221; collapsed=&#8221;off&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;4.9.10&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_image src=&#8221;https:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/calloutImage.png&#8221; title_text=&#8221;calloutImage&#8221; show_bottom_space=&#8221;off&#8221; admin_label=&#8221;Image&#8221; module_class=&#8221;img1&#8243; _builder_version=&#8221;4.10.8&#8243; _module_preset=&#8221;default&#8221; width=&#8221;25px&#8221; height=&#8221;60px&#8221; custom_padding=&#8221;2px||2px||true|false&#8221; global_colors_info=&#8221;{}&#8221;][\/et_pb_image][et_pb_text module_class=&#8221;ftstyle&#8221; _builder_version=&#8221;4.9.10&#8243; _module_preset=&#8221;default&#8221; text_orientation=&#8221;center&#8221; global_colors_info=&#8221;{}&#8221;]<\/p>\n<div class=\"ffmanage\">\n<div class=\"textmanagestyle\">\n<div class=\"fone\">\n<p>Ready to get started ?<\/p>\n<\/div>\n<div class=\"sone\">\n<p class=\"ffbtn\"><a href=\"https:\/\/mindspark.in\/free-trial\">Start Free Trial<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n<p>[\/et_pb_text][et_pb_image src=&#8221;https:\/\/stgwebsite.mindspark.in\/wordpress\/wp-content\/uploads\/2021\/08\/down-circle.png&#8221; title_text=&#8221;down-circle&#8221; show_bottom_space=&#8221;off&#8221; align=&#8221;right&#8221; module_class=&#8221;img2&#8243; _builder_version=&#8221;4.9.10&#8243; _module_preset=&#8221;default&#8221; width=&#8221;44px&#8221; height=&#8221;18px&#8221; custom_padding=&#8221;2px||2px||true|false&#8221; global_colors_info=&#8221;{}&#8221;][\/et_pb_image][\/et_pb_column][\/et_pb_row][et_pb_row admin_label=&#8221;FAQ Row&#8221; _builder_version=&#8221;4.9.11&#8243; _module_preset=&#8221;default&#8221; width=&#8221;100%&#8221; max_width=&#8221;1310px&#8221; custom_padding=&#8221;|40px||40px|false|true&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;4.9.11&#8243; _module_preset=&#8221;default&#8221; global_colors_info=&#8221;{}&#8221;][et_pb_text admin_label=&#8221;FAQ&#8221; module_class=&#8221;faqstyl&#8221; _builder_version=&#8221;4.13.1&#8243; _module_preset=&#8221;default&#8221; text_font_size=&#8221;16px&#8221; header_font=&#8221;|700|||||||&#8221; header_text_align=&#8221;center&#8221; header_line_height=&#8221;2.5em&#8221; background_color=&#8221;#dbedc6&#8243; max_width=&#8221;80%&#8221; module_alignment=&#8221;center&#8221; custom_margin=&#8221;||||false|false&#8221; custom_padding=&#8221;30px|25px|30px|25px|true|true&#8221; hover_enabled=&#8221;0&#8243; border_radii=&#8221;on|10px|10px|10px|10px&#8221; global_colors_info=&#8221;{}&#8221; sticky_enabled=&#8221;0&#8243;]<\/p>\n<h1>Frequently Asked Questions<span style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">\u00a0<\/span><\/span><\/h1>\n<ol><\/ol>\n<h3><strong>Q1. What do you mean by logarithmic function?<br \/><\/strong><\/h3>\n<p><span style=\"font-weight: 400;\"><strong>Ans: <\/strong>Logarithmic Function is known to be the inverse function of an exponential function.<br \/>The logarithmic function is usually defined as:<br \/><span class=\"katex-eq\" data-katex-display=\"false\">\\log _{a} b=x<\/span><\/span><span style=\"font-weight: 400;\"><\/span><\/p>\n<p><span style=\"font-weight: 400;\">The equivalent exponential form of the log function is:<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">a^{x}=b<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\">Here, <strong>x<\/strong> is the log of a number <strong>b<\/strong>, and <strong>a<\/strong> is the base of the logarithmic function.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">And, <\/span><b>a<\/b><span style=\"font-weight: 400;\"> is a positive integer and <\/span><b>a<\/b><span style=\"font-weight: 400;\"> \u22601.<\/span><\/p>\n<h3><strong>Q2. What are the Common and Natural Logarithmic functions?<br \/><\/strong><\/h3>\n<p><strong>Ans: <\/strong>The logarithmic function to the base \u201810\u2019 is known as the Common Logarithmic function. Whereas when the base is \u2018e\u2019 it is a Natural Logarithmic function.<\/p>\n<h3><strong>Q3. What are the common and natural log values of zero?<\/strong><\/h3>\n<p><strong>Ans: <\/strong>The value of both common and natural log of zero are both undefined.<strong><\/strong><\/p>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Meta Description: We can calculate the sum of the terms in a geometric progression using the formula  S = a(1-r^n)\/(1-r) when r < 1 and  S = a(r^n-1)\/(r-1)when r>1<\/p>\n","protected":false},"author":10,"featured_media":0,"parent":714,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.6 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>The Value of log 0 with base 10 and e - mydomain<\/title>\n<meta name=\"description\" content=\"Meta Description: We can calculate the sum of the terms in a geometric progression using the formula S = a(1-r^n)\/(1-r) when r &lt; 1 and S = a(r^n-1)\/(r-1)when r&gt;1\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/the-value-of-log-0-with-base-10-and-e\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The Value of log 0 with base 10 and e - mydomain\" \/>\n<meta property=\"og:description\" content=\"Meta Description: We can calculate the sum of the terms in a geometric progression using the formula S = a(1-r^n)\/(1-r) when r &lt; 1 and S = a(r^n-1)\/(r-1)when r&gt;1\" \/>\n<meta property=\"og:url\" content=\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/the-value-of-log-0-with-base-10-and-e\/\" \/>\n<meta property=\"og:site_name\" content=\"mydomain\" \/>\n<meta property=\"article:modified_time\" content=\"2021-12-30T17:34:59+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/eistudymaterial.s3.amazonaws.com\/LOG-0-VALUE-01-300x184.png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"4 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebSite\",\"@id\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/#website\",\"url\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/\",\"name\":\"mydomain\",\"description\":\"Just another WordPress site\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"ImageObject\",\"@id\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/the-value-of-log-0-with-base-10-and-e\/#primaryimage\",\"inLanguage\":\"en-US\",\"url\":\"https:\/\/eistudymaterial.s3.amazonaws.com\/LOG-0-VALUE-01-300x184.png\",\"contentUrl\":\"https:\/\/eistudymaterial.s3.amazonaws.com\/LOG-0-VALUE-01-300x184.png\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/the-value-of-log-0-with-base-10-and-e\/#webpage\",\"url\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/the-value-of-log-0-with-base-10-and-e\/\",\"name\":\"The Value of log 0 with base 10 and e - mydomain\",\"isPartOf\":{\"@id\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/the-value-of-log-0-with-base-10-and-e\/#primaryimage\"},\"datePublished\":\"2021-12-30T09:04:09+00:00\",\"dateModified\":\"2021-12-30T17:34:59+00:00\",\"description\":\"Meta Description: We can calculate the sum of the terms in a geometric progression using the formula S = a(1-r^n)\/(1-r) when r < 1 and S = a(r^n-1)\/(r-1)when r>1\",\"breadcrumb\":{\"@id\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/the-value-of-log-0-with-base-10-and-e\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/the-value-of-log-0-with-base-10-and-e\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/the-value-of-log-0-with-base-10-and-e\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Math Concepts\",\"item\":\"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"The Value of log 0 with base 10 and e\"}]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"The Value of log 0 with base 10 and e - mydomain","description":"Meta Description: We can calculate the sum of the terms in a geometric progression using the formula S = a(1-r^n)\/(1-r) when r < 1 and S = a(r^n-1)\/(r-1)when r>1","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/the-value-of-log-0-with-base-10-and-e\/","og_locale":"en_US","og_type":"article","og_title":"The Value of log 0 with base 10 and e - mydomain","og_description":"Meta Description: We can calculate the sum of the terms in a geometric progression using the formula S = a(1-r^n)\/(1-r) when r < 1 and S = a(r^n-1)\/(r-1)when r>1","og_url":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/the-value-of-log-0-with-base-10-and-e\/","og_site_name":"mydomain","article_modified_time":"2021-12-30T17:34:59+00:00","og_image":[{"url":"https:\/\/eistudymaterial.s3.amazonaws.com\/LOG-0-VALUE-01-300x184.png"}],"twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"4 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebSite","@id":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/#website","url":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/","name":"mydomain","description":"Just another WordPress site","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/the-value-of-log-0-with-base-10-and-e\/#primaryimage","inLanguage":"en-US","url":"https:\/\/eistudymaterial.s3.amazonaws.com\/LOG-0-VALUE-01-300x184.png","contentUrl":"https:\/\/eistudymaterial.s3.amazonaws.com\/LOG-0-VALUE-01-300x184.png"},{"@type":"WebPage","@id":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/the-value-of-log-0-with-base-10-and-e\/#webpage","url":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/the-value-of-log-0-with-base-10-and-e\/","name":"The Value of log 0 with base 10 and e - mydomain","isPartOf":{"@id":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/#website"},"primaryImageOfPage":{"@id":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/the-value-of-log-0-with-base-10-and-e\/#primaryimage"},"datePublished":"2021-12-30T09:04:09+00:00","dateModified":"2021-12-30T17:34:59+00:00","description":"Meta Description: We can calculate the sum of the terms in a geometric progression using the formula S = a(1-r^n)\/(1-r) when r < 1 and S = a(r^n-1)\/(r-1)when r>1","breadcrumb":{"@id":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/the-value-of-log-0-with-base-10-and-e\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/the-value-of-log-0-with-base-10-and-e\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/the-value-of-log-0-with-base-10-and-e\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/"},{"@type":"ListItem","position":2,"name":"Math Concepts","item":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/"},{"@type":"ListItem","position":3,"name":"The Value of log 0 with base 10 and e"}]}]}},"_links":{"self":[{"href":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-json\/wp\/v2\/pages\/7295"}],"collection":[{"href":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-json\/wp\/v2\/users\/10"}],"replies":[{"embeddable":true,"href":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-json\/wp\/v2\/comments?post=7295"}],"version-history":[{"count":10,"href":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-json\/wp\/v2\/pages\/7295\/revisions"}],"predecessor-version":[{"id":7354,"href":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-json\/wp\/v2\/pages\/7295\/revisions\/7354"}],"up":[{"embeddable":true,"href":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-json\/wp\/v2\/pages\/714"}],"wp:attachment":[{"href":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/wp-json\/wp\/v2\/media?parent=7295"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}