{"id":5678,"date":"2025-07-15T13:34:44","date_gmt":"2025-07-15T13:34:44","guid":{"rendered":"https:\/\/functiontranslator.com\/log\/"},"modified":"2021-02-26T09:58:56","modified_gmt":"2021-02-26T09:58:56","slug":"log10","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/cs\/log10\/","title":{"rendered":"LOG"},"content":{"rendered":"<h2>\u00davod<\/h2>\n<p>Funkce <strong>LOG10<\/strong>, neboli des\u00edtkov\u00fd logaritmus, je v Excelu a Google Sheets nezbytn\u00fdm n\u00e1strojem pro v\u00fdpo\u010det logaritmu zadan\u00e9ho \u010d\u00edsla s z\u00e1kladem 10. Tato funkce se \u0161iroce pou\u017e\u00edv\u00e1 ve finan\u010dn\u00ed anal\u00fdze, in\u017een\u00fdrstv\u00ed, datov\u00e9 v\u011bd\u011b a statistice pro linearizaci exponenci\u00e1ln\u00edch dat, co\u017e ji \u010din\u00ed d\u016fle\u017eit\u00fdm n\u00e1strojem pro mnoho v\u00fdpo\u010detn\u00edch aplikac\u00ed.<\/p>\n<h2>Syntaxe funkce<\/h2>\n<p>Syntaxe funkce <code>LOG10<\/code> v MS Excel a Google Sheets je n\u00e1sleduj\u00edc\u00ed:<\/p>\n<pre><code>LOG10(\u010d\u00edslo)<\/code><\/pre>\n<ul>\n<li><strong>\u010d\u00edslo<\/strong> &#8211; Hodnota, pro kterou se vypo\u010d\u00edt\u00e1 des\u00edtkov\u00fd logaritmus. Tato hodnota mus\u00ed b\u00fdt kladn\u00e1.<\/li>\n<\/ul>\n<h2>P\u0159\u00edklady pou\u017eit\u00ed<\/h2>\n<p>Pro v\u00fdpo\u010det des\u00edtkov\u00e9ho logaritmu:<\/p>\n<pre><code>LOG10(100) \/\/ V\u00fdsledek je 2, proto\u017ee 10^2 = 100<\/code><\/pre>\n<p>V p\u0159\u00edpad\u011b z\u00e1porn\u00e9ho \u010d\u00edsla nebo nuly jako vstupu:<\/p>\n<pre><code>LOG10(0) \/\/ Zp\u016fsob\u00ed chybu, logaritmus nuly nen\u00ed definov\u00e1n LOG10(-10) \/\/ Zp\u016fsob\u00ed chybu, nebo\u0165 logaritmus z\u00e1porn\u00e9ho \u010d\u00edsla v re\u00e1ln\u00fdch \u010d\u00edslech nen\u00ed mo\u017en\u00fd<\/code><\/pre>\n<h2>Praktick\u00e9 aplikace funkce<\/h2>\n<h3>1. P\u0159evody mezi dB (decibel) a line\u00e1rn\u00edmi jednotkami<\/h3>\n<p>V elektrotechnice a akustice se \u010dasto pou\u017e\u00edv\u00e1 des\u00edtkov\u00fd logaritmus pro p\u0159evody mezi decibely a line\u00e1rn\u00edmi jednotkami v\u00fdkonu. Decibel je logaritmick\u00e1 m\u00edra v\u00fdkonu definovan\u00e1 jako:<\/p>\n<pre><code>dB = 10 * LOG10(P1 \/ P0)<\/code><\/pre>\n<p>kde <strong>P1<\/strong> je zm\u011b\u0159en\u00fd v\u00fdkon a <strong>P0<\/strong> je referen\u010dn\u00ed v\u00fdkon.<\/p>\n<p>P\u0159\u00edklad:<\/p>\n<table>\n<tr>\n<th>P1<\/th>\n<th>P0<\/th>\n<th>dB<\/th>\n<\/tr>\n<tr>\n<td>1000 W<\/td>\n<td>1 W<\/td>\n<td>=10 * LOG10(1000\/1)<\/td>\n<\/tr>\n<\/table>\n<p>V tomto p\u0159\u00edkladu je v\u00fdsledn\u00fdch 30 dB.<\/p>\n<h3>2. Normalizace dat<\/h3>\n<p>Logaritmus je tak\u00e9 u\u017eite\u010dn\u00fd pro normalizaci dat rozlo\u017een\u00fdch v exponenci\u00e1ln\u00ed \u0161k\u00e1le na line\u00e1rn\u011bj\u0161\u00ed form\u00e1t, co\u017e usnad\u0148uje jejich anal\u00fdzu a vizualizaci. Pou\u017eit\u00edm <code>LOG10<\/code> m\u016f\u017eete transformovat data na jednodu\u0161eji interpretovatelnou \u0161k\u00e1lu.<\/p>\n<p>P\u0159\u00edklad pou\u017eit\u00ed:<\/p>\n<pre><code>Data: 1, 10, 100, 1000, 10000 Normalizovan\u00e1 data: LOG10(A2:A6)<\/code><\/pre>\n<table>\n<tr>\n<th>Origin\u00e1ln\u00ed Data<\/th>\n<th>Normalizovan\u00e9 Data<\/th>\n<\/tr>\n<tr>\n<td>1<\/td>\n<td>0<\/td>\n<\/tr>\n<tr>\n<td>10<\/td>\n<td>1<\/td>\n<\/tr>\n<tr>\n<td>100<\/td>\n<td>2<\/td>\n<\/tr>\n<tr>\n<td>1000<\/td>\n<td>3<\/td>\n<\/tr>\n<tr>\n<td>10000<\/td>\n<td>4<\/td>\n<\/tr>\n<\/table>\n<p>Tato transformace umo\u017e\u0148uje lep\u0161\u00ed vizualizaci a porozum\u011bn\u00ed rozd\u00edl\u016fm mezi jednotliv\u00fdmi \u00farovn\u011bmi dat.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Vr\u00e1t\u00ed dekadick\u00fd logaritmus \u010d\u00edsla<\/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-5678","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 LOG10 (LOG) v Excelu: jak funguje, primjeri kori\u0161tenja formule<\/title>\n<meta name=\"description\" content=\"Opis funkcije LOG10 (LOG) u Excelu i Google tablicama. 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