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Zuletzt geändert von akukin am 2025/08/11 15:31
Von Version 9.1
bearbeitet von akukin
am 2025/08/11 15:31
Änderungskommentar: Es gibt keinen Kommentar für diese Version
Auf Version 7.1
bearbeitet von Kim Fujan
am 2025/05/20 09:08
Änderungskommentar: Es gibt keinen Kommentar für diese Version

Zusammenfassung

Details

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Dokument-Autor
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1 -XWiki.akukin
1 +XWiki.fujan
Inhalt
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1 -(% class="123" %)
2 -1. {{formula}} e^x=3 \quad \mid ln( ) {{/formula}}
1 +(% class="abc" %)
2 +1. {{formula}} e^x=3 \quad \left| ln( ) {{/formula}}
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 6  
7 -1. {{formula}} 2e^x-4=8 \quad \mid +4{{/formula}}
8 -{{formula}} 2e^x=12 \quad \mid :2{{/formula}}
9 -{{formula}} e^x=6 \quad \mid ln( ) {{/formula}}
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}}
10 10  {{formula}} x=ln(6) {{/formula}}
11 11  {{formula}}\mathbb{L}= \left\{ ln(6) \right\} {{/formula}}
12 12  
13 -1. {{formula}} 2e^{-0.5x}=6 \quad \mid :2 {{/formula}}
14 -{{formula}} e^{-0.5x}=3 \quad \mid ln( ) {{/formula}}
15 -{{formula}} -0.5x=ln(3) \quad \mid \cdot (-2) {{/formula}}
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 16  {{formula}} x=-2 \cdot ln(3) {{/formula}}
17 17  {{formula}}\mathbb{L}= \left\{-2 \cdot ln(3) \right\} {{/formula}}
18 18  
19 -1. {{formula}} e^x=-5 \quad \mid ln( ) {{/formula}}
19 +1. {{formula}} e^x=-5 \quad \left| ln( ) {{/formula}}
20 20  {{formula}}x=ln(-5){{/formula}}
21 21  keine Lösung!
22 22  {{formula}}\mathbb{L}= \left\{ \right\} {{/formula}}
23 23  
24 -1. {{formula}} 4\cdot 5^x=100 \quad \mid:4 {{/formula}}
25 -{{formula}} 5^x=25 \quad \mid \text{Exponentenvergleich} {{/formula}}
24 +1. {{formula}} 4\cdot 5^x=100 \quad \left|:4 {{/formula}}
25 +{{formula}} 5^x=25 \quad \left| \text{Exponentenvergleich} {{/formula}}
26 26  {{formula}} 5^x=5^2 {{/formula}}
27 27  {{formula}} x=2 {{/formula}}
28 28  {{formula}}\mathbb{L}= \left\{ 2 \right\} {{/formula}}