vault backup: 2022-10-12 11:44:21

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

@@ -12,8 +12,8 @@
   "checkpointList": [
     {
       "path": "/",
-      "date": "2022-10-11",
-      "size": 917393
+      "date": "2022-10-12",
+      "size": 918436
     }
   ],
   "activityHistory": [
@@ -859,6 +859,10 @@
         {
           "date": "2022-10-11",
           "value": 1857
+        },
+        {
+          "date": "2022-10-12",
+          "value": 1043
         }
       ]
     }

notes/.obsidian/plugins/various-complements/data.json

@@ -170,6 +170,14 @@
           "lastUpdated": 1665047506617
         }
       }
+    },
+    "řešení": {
+      "řešení": {
+        "currentFile": {
+          "count": 1,
+          "lastUpdated": 1665566593983
+        }
+      }
     }
   }
 }

notes/cjl/literatura/slohy/Baroko/Baroko.md

@@ -0,0 +1,8 @@
+# Baroko
+Oblé
+Nelogické
+Velké
+
+%% Zoottelkeeper: Beginning of the autogenerated index file list  %%
+-  [[cjl/literatura/slohy/Baroko/Sochy|Sochy]]
+%% Zoottelkeeper: End of the autogenerated index file list  %%

notes/cjl/literatura/slohy/Baroko/Sochy.md

@@ -0,0 +1,2 @@
+# Sochy
+Alegorické (skryté nápady)

notes/mat/Funkce/Exponenciální funkce.md

@@ -213,9 +213,84 @@ $x=4$
 ---
 
 $5^{x+2}2-5^{x+1}=45$
-$5^x5^22-5^{x+1}=9*5$ /$:5$
+$5^x5^22-5^{x+1}=9*5 /:5$
 $5^x5*2-5^x=9$
 $10*5^x-5^x=9$
 $9*5^x=9$
 $5^x=1$
 $x=0$
+
+---
+
+$6^{x-1}=5+6^{x-2}$
+$6^x*6^{-1}=5+6^x*6^{-2}$
+$6^x6^{-1}-6^x6^{-2}=5$
+
+$6^x=t$
+$t*6^{-1}=5+t*6^{-2}$
+$\frac{t}6 = 5+\frac{t}{36}/*36$
+$6t=180+t$
+$6t-t=180$
+$5t=180$
+$t=36$
+$6^x=36$
+$x=2$
+
+$\frac{6^x}6-\frac{6^x}{36}=5 /*36$
+$6*6^x-6^x=180$
+$5*6^x=180/:5$
+$6^x=36$
+$x=2$
+
+---
+
+$5^x-5^x*5=500$
+$-4*5^x=500$
+$5^x=-125$
+$5^x=(-5)^3$
+
+nemá řešení
+
+---
+
+$5^{2x}+3*5^x=10$
+$5^x*5^x+3*5^x=2*5$
+$(5^x)^2-3*5^x=10$
+$c^2-3c=10$
+$c^2-3c-10=0$
+$(c-5)(c+1)=0$
+
+$c=5$
+$5^x=5$
+$x=1$
+
+$c=-2$
+$5^x=-2$
+druhá větev nemá řešení 
+
+$K=\{1\}$
+
+---
+
+$121^x=22+9*11^x$
+$11^{2x}=22+9*11^x$
+$(11^x)^2-9*11^x=22$
+$t=11^x$
+$t^2-9t=22$
+
+
+---
+
+$3^{x+2}+9^{x+1}=810$
+$3^x3^2+9^x9=9^2*10$
+$3*9^x+9*9^x-9^2*10=0$
+$12*9^x=9^2*10/2$
+$6*9^x=9^2*5$
+$6*9^x=3^2*9*5$
+$2*9^x-3*9*5=0$
+$2*9^x-15*9=0$
+$2*9^x-135=0$
+
+
+---
+