diff --git a/notes/.obsidian/plugins/obsidian-activity-history/data.json b/notes/.obsidian/plugins/obsidian-activity-history/data.json
index eea5146..e2e6806 100644
--- a/notes/.obsidian/plugins/obsidian-activity-history/data.json
+++ b/notes/.obsidian/plugins/obsidian-activity-history/data.json
@@ -13,7 +13,7 @@
     {
       "path": "/",
       "date": "2022-11-23",
-      "size": 931537
+      "size": 932054
     }
   ],
   "activityHistory": [
@@ -922,7 +922,7 @@
         },
         {
           "date": "2022-11-23",
-          "value": 2260
+          "value": 2777
         }
       ]
     }
diff --git a/notes/.obsidian/plugins/various-complements/data.json b/notes/.obsidian/plugins/various-complements/data.json
index 627b55d..db62ee2 100644
--- a/notes/.obsidian/plugins/various-complements/data.json
+++ b/notes/.obsidian/plugins/various-complements/data.json
@@ -294,6 +294,14 @@
           "lastUpdated": 1669195954085
         }
       }
+    },
+    "\\downarrow": {
+      "\\downarrow": {
+        "currentFile": {
+          "count": 1,
+          "lastUpdated": 1669199405571
+        }
+      }
     }
   }
 }
\ No newline at end of file
diff --git a/notes/data/Pasted image 20221123113129.png b/notes/data/Pasted image 20221123113129.png
new file mode 100644
index 0000000..00ed861
Binary files /dev/null and b/notes/data/Pasted image 20221123113129.png differ
diff --git a/notes/data/Pasted image 20221123113224.png b/notes/data/Pasted image 20221123113224.png
new file mode 100644
index 0000000..1ede732
Binary files /dev/null and b/notes/data/Pasted image 20221123113224.png differ
diff --git a/notes/mat/Funkce/Logaritmus.md b/notes/mat/Funkce/Logaritmus.md
index 0960f8c..4b98b3c 100644
--- a/notes/mat/Funkce/Logaritmus.md
+++ b/notes/mat/Funkce/Logaritmus.md
@@ -23,16 +23,42 @@ $log_2x$ je roustoucí
 
 $log_2x$ posunutý o 3 →
 $log_2(x-3)$
+jedničkový bod: $[4;0]$
 
 $log_2x$ posunutý o 3 ←
 $log_2(x+3)$
+jedničkový bod: $[-2;0]$
 
 $log_2x$ posunutý o 3 $\uparrow$ 
 $log_2x+3$
+jedničkový bod: $[1;3]$
 
 $log_2x$ posunutý o 3 $\downarrow$
 $log_2x-3$
+jedničkový bod: $[1;-3]$
 
 ![](Pasted%20image%2020221123111325.png)
 [Calculator Suite - GeoGebra](https://www.geogebra.org/calculator/rvbswpyq)
 
+$log_2(x-5)+3$
+5 →
+3 $\uparrow$
+
+Jedničkový bod: $[6;3]$
+
+![](Pasted%20image%2020221123113129.png)
+
+$log_2(-x)-4$
+
+převrácená přes osu x
+4 $\downarrow$
+
+Jedničkový bod: $[1;-4]$
+
+![](Pasted%20image%2020221123113224.png)
+
+$log_{10}(x+3)-\frac12$
+
+$log_{10}(x-3.5)$
+
+$log_{10}(-x)+7$