diff --git a/notes/.obsidian/plugins/obsidian-activity-history/data.json b/notes/.obsidian/plugins/obsidian-activity-history/data.json index 6644642..74d8926 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": "2022-10-11", - "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 } ] } diff --git a/notes/.obsidian/plugins/various-complements/data.json b/notes/.obsidian/plugins/various-complements/data.json index b3340c7..7591287 100644 --- a/notes/.obsidian/plugins/various-complements/data.json +++ b/notes/.obsidian/plugins/various-complements/data.json @@ -170,6 +170,14 @@ "lastUpdated": 1665047506617 } } + }, + "řešení": { + "řešení": { + "currentFile": { + "count": 1, + "lastUpdated": 1665566593983 + } + } } } } \ No newline at end of file diff --git a/notes/cjl/literatura/slohy/Baroko/Baroko.md b/notes/cjl/literatura/slohy/Baroko/Baroko.md new file mode 100644 index 0000000..7143910 --- /dev/null +++ b/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 %% diff --git a/notes/cjl/literatura/slohy/Baroko/Sochy.md b/notes/cjl/literatura/slohy/Baroko/Sochy.md new file mode 100644 index 0000000..d0b44c7 --- /dev/null +++ b/notes/cjl/literatura/slohy/Baroko/Sochy.md @@ -0,0 +1,2 @@ +# Sochy +Alegorické (skryté nápady) \ No newline at end of file diff --git a/notes/mat/Funkce/Exponenciální funkce.md b/notes/mat/Funkce/Exponenciální funkce.md index d794e38..4964fa8 100644 --- a/notes/mat/Funkce/Exponenciální funkce.md +++ b/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 + +$K=\{1\}$ + +--- + +$121^x=22+9*11^x$ +$11^{2x}=22+9*11^x$ +$(11^x)^2-9*11^x=22$ +$t=11^x$ +$t^2-9t=22$ + + +--- + +$3^{x+2}+9^{x+1}=810$ +$3^x3^2+9^x9=9^2*10$ +$3*9^x+9*9^x-9^2*10=0$ +$12*9^x=9^2*10/2$ +$6*9^x=9^2*5$ +$6*9^x=3^2*9*5$ +$2*9^x-3*9*5=0$ +$2*9^x-15*9=0$ +$2*9^x-135=0$ + + +--- +