Änderungen von Dokument Lösung Exponentialgleichungen (Logarithmieren)

Zusammenfassung

• Seiteneigenschaften (1 geändert, 0 hinzugefügt, 0 gelöscht)

Details

Seiteneigenschaften

Inhalt

...	...	@@ -3,26 +3,22 @@
3	3	{{formula}} ln(e^x)=ln(3) {{/formula}}
4	4	{{formula}} x=ln(3) {{/formula}}
5	5	{{formula}}\mathbb{L}= \left\{ ln(3) \right\} {{/formula}}
6		-
7		-
8	8	1. {{formula}} 2e^x-4=8 \quad \left|+4{{/formula}}
9	9	{{formula}} 2e^x=12 \quad \left|:2{{/formula}}
10	10	{{formula}} e^x=6 \quad \left| ln( ) {{/formula}}
11	11	{{formula}} x=ln(6) {{/formula}}
12	12	{{formula}}\mathbb{L}= \left\{ ln(6) \right\} {{/formula}}
13		-
14	14	1. {{formula}} 2e^{-0.5x}=6 \quad \left|:2 {{/formula}}
15	15	{{formula}} e^{-0.5x}=3 \quad \left| ln( ) {{/formula}}
16	16	{{formula}} -0.5x=ln(3) \quad \left|\cdot (-2) {{/formula}}
17	17	{{formula}} x=-2 \cdot ln(3) {{/formula}}
18	18	{{formula}}\mathbb{L}= \left\{-2 \cdot ln(3) \right\} {{/formula}}
19		-
20	20	1. {{formula}} e^x=-5 \quad \left| ln( ) {{/formula}}
21	21	{{formula}}x=ln(-5){{/formula}}
22	22	keine Lösung!
23	23	{{formula}}\mathbb{L}= \left\{ \right\} {{/formula}}
24		-
25	25	1. {{formula}} 4\cdot 5^x=100 \quad \left|:4 {{/formula}}
26	26	{{formula}} 5^x=25 \quad \left| \text{Exponentenvergleich} {{/formula}}
27	27	{{formula}} 5^x=5^2 {{/formula}}
28		-{{formula}} x=5 {{/formula}}
	23	+{{formula}} x=2 {{/formula}}
	24	+{{formula}}\mathbb{L}= \left\{ 2 \right\} {{/formula}}