vault backup: 2022-10-13 11:40:04

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

@@ -12,8 +12,8 @@
   "checkpointList": [
     {
       "path": "/",
-      "date": "2022-10-12",
-      "size": 918436
+      "date": "2022-10-13",
+      "size": 918747
     }
   ],
   "activityHistory": [
@@ -863,6 +863,10 @@
         {
           "date": "2022-10-12",
           "value": 1043
+        },
+        {
+          "date": "2022-10-13",
+          "value": 311
         }
       ]
     }

notes/mat/Funkce/Exponenciální funkce.md

@@ -294,3 +294,35 @@ $2*9^x-135=0$
 
 ---
 
+$2^{4x}-50-2^{2x}=896$
+$2^{4x}-2^{2x}=946$
+$2^{4x-2x}=946$
+$2^{2x}=946$
+$2^x=a$
+$a^4-50-a^2=896$
+bikvadratická rovnice
+
+$2^{4x}-50*2^x=896$
+$b^2-50b-896=0$
+$b^2-50b-946=0$
+
+$b=2^{2x}$
+
+$D=2500+4*896=6084$
+$\sqrt{D}=78$
+$b_{12}=\frac{50\pm78}2$
+$b_1=64$
+$b_2\not=-14$
+
+$2^{2x}=64$
+$2x=6$
+$x=3$
+
+$K=\{3\}$
+
+---
+
+$128=2^x$
+$2^x=2^7$
+$x=7$
+