Änderungen von Dokument BPE 4.5 Logarithmus und Exponentialgleichungen

Zusammenfassung

• Seiteneigenschaften (2 geändert, 0 hinzugefügt, 0 gelöscht)

Details

Seiteneigenschaften

Dokument-Autor

...	...	@@ -1,1 +1,1 @@
1		-XWiki.martinawagner
	1	+XWiki.dirktebbe

Inhalt

...	...	@@ -36,6 +36,12 @@
36	36
37	37	{{aufgabe id="Darstellungen zuordnen" afb="I" kompetenzen="K5" quelle="Elke Hallmann, Martin Rathgeb, Dirk Tebbe" cc="BY-SA" zeit="5"}}
38	38	Ordne zu!
	39	+(% class="border slim " %)
	40	+|Implizite Gleichungen|Explizite Gleichungen|Wertetabellen|Schaubilder
	41	+|{{formula}} x^3 = 8 {{/formula}}|{{formula}} x = \sqrt[3]{8=} {{/formula}}|(((
	42	+|x|0|1|2|3
	43	+|y|0|1|8|27
	44	+)))|[[image:2^xund8.svg||width="200px"]]
39	39	(% class="abc" %)
40	40	1. (((Gleichungen (implizite und explizite):
41	41	1. {{formula}} x^3 = 8 {{/formula}}
...	...	@@ -54,8 +54,8 @@
54	54	|y|0|1|8|27
55	55	)))
56	56	1. zwei Graphen
57		-[[image:8und2^x.svg||width="200px"]]
58		-[[image:x^3 und 8.svg||width="200px"]]
	63	+[[image:2^xund8.svg||width="200px"]]
	64	+[[image:x^3und8.svg||width="200px"]]
59	59	{{/aufgabe}}
60	60
61	61	{{aufgabe id="Logarithmen auswerten" afb="II" kompetenzen="K4,K5" quelle="Elke Hallmann, Martin Rathgeb, Dirk Tebbe" cc="BY-SA" zeit="10"}}
...	...	@@ -64,12 +64,12 @@
64	64	[[image:Logarithmus_neu.svg||width="600px"]]
65	65
66	66	(% class="abc" %)
67		-1. {{formula}} \log_{10}(10) {{/formula}}
68		-1. {{formula}} \log_{100}(10) {{/formula}}
69		-1. {{formula}} \log_{11}(10) {{/formula}}
	73	+1. {{formula}} \log_{10}(0.1) {{/formula}}
	74	+1. {{formula}} \log_{100}(0.1) {{/formula}}
	75	+1. {{formula}} \log_{0.1}(0.1) {{/formula}}
70	70	1. {{formula}} \log_{10}(1000) {{/formula}}
71	71	1. {{formula}} \log_{10}(50) {{/formula}}
72		-1. {{formula}} \log_{11}(1000) {{/formula}}
	78	+1. {{formula}} \log_{0.1}(1000) {{/formula}}
73	73	1. {{formula}} \log_{10}(1) {{/formula}}
74	74	1. {{formula}} \log_{100}(10) {{/formula}}
75	75	1. {{formula}} \log_{10}(10) {{/formula}}
...	...	@@ -95,7 +95,7 @@
95	95	|{{formula}}x^2 = 2{{/formula}}|{{formula}}x^2-2x = 0{{/formula}}|{{formula}}x^4-40x^2+144 = 0{{/formula}}
96	96	|{{formula}}x^4 = e{{/formula}}|{{formula}}2x^e = x^{2e}{{/formula}}|{{formula}}x^{2x}+x^e+1 = 0{{/formula}}
97	97	|{{formula}}e^x = e{{/formula}}|{{formula}}2e^x = e^{2x}{{/formula}}|{{formula}}10^{6x}-2\cdot 10^{3x}+1 = 0{{/formula}}
98		-|{{formula}}3e^x = \frac{1}{2}e^{-x}{{/formula}}|2|1
	104	+|{{formula}}3e^x = \frac{1}{2}e^{-x}{{/formula}}|{{formula}}x\cdot 3^x+4\cdot 3^x = 0{{/formula}}|{{formula}}3e^x-1 = \frac{1}{3}e^{-x}{{/formula}}
99	99	{{/aufgabe}}
100	100
101	101	Nenne eine passende Gleichung. Die Gleichung kann ich nach x auflösen, indem ich {{formula}} \ldots {{/formula}}