diff --git a/notes/.obsidian/plugins/obsidian-activity-history/data.json b/notes/.obsidian/plugins/obsidian-activity-history/data.json index 74d8926..4b6b946 100644 --- a/notes/.obsidian/plugins/obsidian-activity-history/data.json +++ b/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 } ] } diff --git a/notes/mat/Funkce/Exponenciální funkce.md b/notes/mat/Funkce/Exponenciální funkce.md index 4964fa8..a38c23a 100644 --- a/notes/mat/Funkce/Exponenciální funkce.md +++ b/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 + +$2^{4x}-50*2^x=896$ +$b^2-50b-896=0$ +$b^2-50b-946=0$ + +$b=2^{2x}$ + +$D=2500+4*896=6084$ +$\sqrt{D}=78$ +$b_{12}=\frac{50\pm78}2$ +$b_1=64$ +$b_2\not=-14$ + +$2^{2x}=64$ +$2x=6$ +$x=3$ + +$K=\{3\}$ + +--- + +$128=2^x$ +$2^x=2^7$ +$x=7$ +