vault backup: 2022-11-24 11:41:28

notes/.obsidian/plugins/obsidian-activity-history/data.json

@@ -12,8 +12,8 @@
   "checkpointList": [
     {
       "path": "/",
-      "date": "2022-11-23",
-      "size": 932054
+      "date": "2022-11-24",
+      "size": 932314
     }
   ],
   "activityHistory": [
@@ -923,6 +923,10 @@
         {
           "date": "2022-11-23",
           "value": 2777
+        },
+        {
+          "date": "2022-11-24",
+          "value": 260
         }
       ]
     }

notes/.obsidian/workspace.json

@@ -4,11 +4,11 @@
     "type": "split",
     "children": [
       {
-        "id": "ce2713e00100b91c",
+        "id": "77981171556de4a7",
         "type": "tabs",
         "children": [
           {
-            "id": "6a09a5f1f77a8368",
+            "id": "7e5abeecdf739d4b",
             "type": "leaf",
             "state": {
               "type": "markdown",
@@ -193,9 +193,10 @@
     "width": 300,
     "collapsed": true
   },
-  "active": "6a09a5f1f77a8368",
+  "active": "7e5abeecdf739d4b",
   "lastOpenFiles": [
     "mat/mat.md",
+    "mat/Funkce/Logaritmus.md",
     "dej/moderní/komunismus/Vylodění v zátoce Sviní.md",
     "dej/moderní/komunismus/Karibská krize.md",
     "dej/moderní/komunismus/Expo 58.md",
@@ -203,7 +204,6 @@
     "cjl/cjl.md",
     "cjl/literatura/slohy/Klasicismus/Klasicismus a osvícení.md",
     "cjl/literatura/Bajky/Býci a čápi.md",
-    "cjl/literatura/Bajky/Bajky.md",
-    "cjl/literatura/slohy/Klasicismus/del Art.md"
+    "cjl/literatura/Bajky/Bajky.md"
   ]
 }

notes/mat/Funkce/Logaritmus.md

@@ -62,3 +62,51 @@ $log_{10}(x+3)-\frac12$
 $log_{10}(x-3.5)$
 
 $log_{10}(-x)+7$
+
+
+## Počítání s logaritmy
+
+### Určete r
+$log_2r=4$
+$2^4=r$
+$r=16$
+
+$log_3r=-2$
+$3^{-2}=r$
+
+$log_5r=\frac34$
+
+
+### Určete v
+
+$log_3\sqrt[3]3=v$
+
+$3^v=\sqrt[3]3$
+$3^v=3^\frac13$
+$v=\frac13$
+
+$log_{10}0.001=v$
+
+$10^v=0.001$
+$10^v=10^{-3}$
+$v=-3$
+
+$log_{0.25}16=v$
+$log_{25}1=v$
+
+### Určete a
+
+$log_a25=2$
+$a^2=25$
+$a^2-25=0$
+$(a-5)(a+5)=0$
+$a=5$
+$a\in\mathbb{R}^+-\{1\}$ tudíž $a\not=5$
+
+$log_a81=4$
+
+$a^4=81$
+$a^4=3^4$
+$a=3$
+
+$log_a8=-3$