{"id":5677,"date":"2025-07-15T13:34:44","date_gmt":"2025-07-15T13:34:44","guid":{"rendered":"https:\/\/functiontranslator.com\/logz\/"},"modified":"2021-02-26T09:58:55","modified_gmt":"2021-02-26T09:58:55","slug":"log-2","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/cs\/log-2\/","title":{"rendered":"LOGZ"},"content":{"rendered":"<h2>\u00davod do logaritmick\u00e9 funkce<\/h2>\n<p>Logaritmick\u00e1 funkce je v aplikac\u00edch jako Microsoft Excel a Google Sheets neoceniteln\u00fdm n\u00e1strojem pro v\u00fdpo\u010dty logaritm\u016f. Logaritmus \u010d\u00edsla reprezentuje, jak\u00fdm exponentem je t\u0159eba umocnit z\u00e1klad logaritmu k dosa\u017een\u00ed hodnoty dan\u00e9ho \u010d\u00edsla. Tato funkce se \u0161iroce vyu\u017e\u00edv\u00e1 v oblastech jako matematika, fyzika, statistika a finan\u010dn\u00ed anal\u00fdza.<\/p>\n<h2>Syntaxe a p\u0159\u00edklady<\/h2>\n<p>Funkce <code>LOG<\/code> v Microsoft Excel a Google Sheets se pou\u017e\u00edv\u00e1 s n\u00e1sleduj\u00edc\u00ed syntax\u00ed:<\/p>\n<ul>\n<li><code>LOG(\u010d\u00edslo, [z\u00e1klad])<\/code> &#8211; Umo\u017e\u0148uje v\u00fdpo\u010det logaritmu dan\u00e9ho \u010d\u00edsla pro zadan\u00fd z\u00e1klad. Pokud z\u00e1klad nen\u00ed specifikov\u00e1n, implicitn\u011b se pou\u017e\u00edv\u00e1 z\u00e1klad 10.<\/li>\n<\/ul>\n<pre> <code> P\u0159\u00edklad: LOG(100) \/\/ Vrac\u00ed 2, proto\u017ee 10^2 = 100 LOG(100, 10) \/\/ Vrac\u00ed 2, stejn\u00fd v\u00fdsledek jako p\u0159edchoz\u00ed p\u0159\u00edklad LOG(8, 2) \/\/ Vrac\u00ed 3, proto\u017ee 2^3 = 8 <\/code> <\/pre>\n<p>Tyto p\u0159\u00edklady demonstruj\u00ed z\u00e1kladn\u00ed vyu\u017eit\u00ed funkce LOG pro v\u00fdpo\u010det logaritmu s r\u016fzn\u00fdmi z\u00e1klady.<\/p>\n<h2>P\u0159\u00edpadov\u00e9 studie a jejich \u0159e\u0161en\u00ed<\/h2>\n<h2>1. V\u00fdpo\u010det dekadick\u00e9ho pH chemick\u00e9ho roztoku<\/h2>\n<p>pH roztoku je definov\u00e1no logaritmicky jako z\u00e1porn\u00fd logaritmus koncentrace vod\u00edkov\u00fdch iont\u016f (vyj\u00e1d\u0159eno v mol\/L). P\u0159edpokl\u00e1dejme, \u017ee pot\u0159ebujeme spo\u010d\u00edtat pH roztoku s koncentrac\u00ed vod\u00edkov\u00fdch iont\u016f 0.001 mol\/L.<\/p>\n<pre> <code> =LOG(0.001) \/\/ Vrac\u00ed 3, proto\u017ee pH = -(-3) = 3 <\/code> <\/pre>\n<p>V tomto p\u0159\u00edpad\u011b umo\u017e\u0148uje logaritmick\u00e1 funkce snadn\u011b p\u0159ev\u00e1d\u011bt koncentraci iont\u016f na pH hodnotu, co\u017e je b\u011b\u017en\u00e9 ve v\u011bdeck\u00e9m a pr\u016fmyslov\u00e9m kontextu.<\/p>\n<h2>2. Rozpo\u010dtov\u00e1n\u00ed r\u016fstu investice<\/h2>\n<p>P\u0159edpokl\u00e1dejme, \u017ee chceme ur\u010dit, jak dlouho bude trvat, ne\u017e se hodnota investice za ro\u010dn\u00ed slo\u017een\u00e9ho \u00faro\u010den\u00ed 5% zdvojn\u00e1sob\u00ed. Logaritmick\u00e1 funkce m\u016f\u017ee b\u00fdt vyu\u017eita k ur\u010den\u00ed doby zdvojn\u00e1soben\u00ed podle pravidla 70.<\/p>\n<pre> <code> =LOG(2) \/ LOG(1.05) \/\/ Vrac\u00ed p\u0159ibli\u017en\u011b 14.21 <\/code> <\/pre>\n<p>Tento v\u00fdpo\u010det ilustruje, \u017ee zdvojn\u00e1soben\u00ed investice p\u0159i slo\u017een\u00e9m \u00faro\u010den\u00ed 5% potrv\u00e1 zhruba 14.21 let. Tato anal\u00fdza je velmi u\u017eite\u010dn\u00e1 pro finan\u010dn\u00ed pl\u00e1nov\u00e1n\u00ed a hodnocen\u00ed investi\u010dn\u00edch p\u0159\u00edle\u017eitost\u00ed.<\/p>\n<p>Oba p\u0159\u00edklady ukazuj\u00ed, jak m\u016f\u017ee b\u00fdt funkce LOG efektivn\u011b vyu\u017eita jak pro praktick\u00e9, tak teoretick\u00e9 \u00fa\u010dely v r\u016fzn\u00fdch discipl\u00edn\u00e1ch.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Vr\u00e1t\u00ed logaritmus \u010d\u00edsla p\u0159i\u00a0zadan\u00e9m z\u00e1kladu<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[282],"tags":[],"class_list":["post-5677","post","type-post","status-publish","format-standard","hentry","category-matematicke-a-trigonometricke"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.8 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Funkce LOG (LOGZ) v Excelu: jak funguje, primjeri kori\u0161tenja formule<\/title>\n<meta name=\"description\" content=\"Opis funkcije LOG (LOGZ) u Excelu i Google tablicama. Sintaksa, parametri funkcije te prakti\u010dni primjeri.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/functiontranslator.com\/cs\/log-2\/\" \/>\n<meta property=\"og:locale\" content=\"cs_CZ\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Funkce LOG (LOGZ) v Excelu: jak funguje, primjeri kori\u0161tenja formule\" \/>\n<meta property=\"og:description\" content=\"Opis funkcije LOG (LOGZ) u Excelu i Google tablicama. Sintaksa, parametri funkcije te prakti\u010dni primjeri.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/functiontranslator.com\/cs\/log-2\/\" \/>\n<meta property=\"og:site_name\" content=\"Function Translator\" \/>\n<meta property=\"article:published_time\" content=\"2025-07-15T13:34:44+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-02-26T09:58:55+00:00\" \/>\n<meta name=\"author\" content=\"glavadmin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"Funkce LOG (LOGZ) v Excelu: jak funguje, primjeri kori\u0161tenja formule\" \/>\n<meta name=\"twitter:label1\" content=\"Napsal(a)\" \/>\n\t<meta name=\"twitter:data1\" content=\"glavadmin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Odhadovan\u00e1 doba \u010dten\u00ed\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minuty\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/functiontranslator.com\/cs\/log-2\/\",\"url\":\"https:\/\/functiontranslator.com\/cs\/log-2\/\",\"name\":\"Funkce LOG (LOGZ) v Excelu: jak funguje, primjeri kori\u0161tenja formule\",\"isPartOf\":{\"@id\":\"https:\/\/functiontranslator.com\/no\/#website\"},\"datePublished\":\"2025-07-15T13:34:44+00:00\",\"dateModified\":\"2021-02-26T09:58:55+00:00\",\"author\":{\"@id\":\"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/87663eece497ca58643166ecb09f1389\"},\"description\":\"Opis funkcije LOG (LOGZ) u Excelu i Google tablicama. Sintaksa, parametri funkcije te prakti\u010dni primjeri.\",\"breadcrumb\":{\"@id\":\"https:\/\/functiontranslator.com\/cs\/log-2\/#breadcrumb\"},\"inLanguage\":\"cs\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/functiontranslator.com\/cs\/log-2\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/functiontranslator.com\/cs\/log-2\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Funkce aplikace Excel\",\"item\":\"https:\/\/functiontranslator.com\/cs\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Matematick\u00e9 a trigonometrick\u00e9\",\"item\":\"https:\/\/functiontranslator.com\/cs\/matematicke-a-trigonometricke\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"LOGZ\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/functiontranslator.com\/no\/#website\",\"url\":\"https:\/\/functiontranslator.com\/no\/\",\"name\":\"Function Translator\",\"description\":\"Excel function translator\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/functiontranslator.com\/no\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"cs\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/87663eece497ca58643166ecb09f1389\",\"name\":\"glavadmin\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"cs\",\"@id\":\"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/03ccd9347c5339db75deede5a8c5b2bf1d40e0bce26a5251fcaac6331d381db8?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/03ccd9347c5339db75deede5a8c5b2bf1d40e0bce26a5251fcaac6331d381db8?s=96&d=mm&r=g\",\"caption\":\"glavadmin\"},\"sameAs\":[\"https:\/\/functiontranslator.com\"],\"url\":\"https:\/\/functiontranslator.com\/cs\/author\/glavadmin\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Funkce LOG (LOGZ) v Excelu: jak funguje, primjeri kori\u0161tenja formule","description":"Opis funkcije LOG (LOGZ) u Excelu i Google tablicama. Sintaksa, parametri funkcije te prakti\u010dni primjeri.","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:\/\/functiontranslator.com\/cs\/log-2\/","og_locale":"cs_CZ","og_type":"article","og_title":"Funkce LOG (LOGZ) v Excelu: jak funguje, primjeri kori\u0161tenja formule","og_description":"Opis funkcije LOG (LOGZ) u Excelu i Google tablicama. Sintaksa, parametri funkcije te prakti\u010dni primjeri.","og_url":"https:\/\/functiontranslator.com\/cs\/log-2\/","og_site_name":"Function Translator","article_published_time":"2025-07-15T13:34:44+00:00","article_modified_time":"2021-02-26T09:58:55+00:00","author":"glavadmin","twitter_card":"summary_large_image","twitter_title":"Funkce LOG (LOGZ) v Excelu: jak funguje, primjeri kori\u0161tenja formule","twitter_misc":{"Napsal(a)":"glavadmin","Odhadovan\u00e1 doba \u010dten\u00ed":"2 minuty"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/functiontranslator.com\/cs\/log-2\/","url":"https:\/\/functiontranslator.com\/cs\/log-2\/","name":"Funkce LOG (LOGZ) v Excelu: jak funguje, primjeri kori\u0161tenja formule","isPartOf":{"@id":"https:\/\/functiontranslator.com\/no\/#website"},"datePublished":"2025-07-15T13:34:44+00:00","dateModified":"2021-02-26T09:58:55+00:00","author":{"@id":"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/87663eece497ca58643166ecb09f1389"},"description":"Opis funkcije LOG (LOGZ) u Excelu i Google tablicama. Sintaksa, parametri funkcije te prakti\u010dni primjeri.","breadcrumb":{"@id":"https:\/\/functiontranslator.com\/cs\/log-2\/#breadcrumb"},"inLanguage":"cs","potentialAction":[{"@type":"ReadAction","target":["https:\/\/functiontranslator.com\/cs\/log-2\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/functiontranslator.com\/cs\/log-2\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Funkce aplikace Excel","item":"https:\/\/functiontranslator.com\/cs\/"},{"@type":"ListItem","position":2,"name":"Matematick\u00e9 a trigonometrick\u00e9","item":"https:\/\/functiontranslator.com\/cs\/matematicke-a-trigonometricke\/"},{"@type":"ListItem","position":3,"name":"LOGZ"}]},{"@type":"WebSite","@id":"https:\/\/functiontranslator.com\/no\/#website","url":"https:\/\/functiontranslator.com\/no\/","name":"Function Translator","description":"Excel function translator","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/functiontranslator.com\/no\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"cs"},{"@type":"Person","@id":"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/87663eece497ca58643166ecb09f1389","name":"glavadmin","image":{"@type":"ImageObject","inLanguage":"cs","@id":"https:\/\/functiontranslator.com\/no\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/03ccd9347c5339db75deede5a8c5b2bf1d40e0bce26a5251fcaac6331d381db8?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/03ccd9347c5339db75deede5a8c5b2bf1d40e0bce26a5251fcaac6331d381db8?s=96&d=mm&r=g","caption":"glavadmin"},"sameAs":["https:\/\/functiontranslator.com"],"url":"https:\/\/functiontranslator.com\/cs\/author\/glavadmin\/"}]}},"_links":{"self":[{"href":"https:\/\/functiontranslator.com\/cs\/wp-json\/wp\/v2\/posts\/5677","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/functiontranslator.com\/cs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/functiontranslator.com\/cs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/functiontranslator.com\/cs\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/functiontranslator.com\/cs\/wp-json\/wp\/v2\/comments?post=5677"}],"version-history":[{"count":2,"href":"https:\/\/functiontranslator.com\/cs\/wp-json\/wp\/v2\/posts\/5677\/revisions"}],"predecessor-version":[{"id":30815,"href":"https:\/\/functiontranslator.com\/cs\/wp-json\/wp\/v2\/posts\/5677\/revisions\/30815"}],"wp:attachment":[{"href":"https:\/\/functiontranslator.com\/cs\/wp-json\/wp\/v2\/media?parent=5677"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/functiontranslator.com\/cs\/wp-json\/wp\/v2\/categories?post=5677"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/functiontranslator.com\/cs\/wp-json\/wp\/v2\/tags?post=5677"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}