Änderungen von Dokument Lösung Exponentialgleichungen (Logarithmieren)

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

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