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Zuletzt geändert von akukin am 2025/08/11 15:31
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1 (% class="123" %)
2 1. {{formula}} e^x=3 \quad \mid ln( ) {{/formula}}
3 {{formula}} ln(e^x)=ln(3) {{/formula}}
4 {{formula}} x=ln(3) {{/formula}}
5 {{formula}}\mathbb{L}= \left\{ ln(3) \right\} {{/formula}}
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}}
10 {{formula}} x=ln(6) {{/formula}}
11 {{formula}}\mathbb{L}= \left\{ ln(6) \right\} {{/formula}}
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}}
16 {{formula}} x=-2 \cdot ln(3) {{/formula}}
17 {{formula}}\mathbb{L}= \left\{-2 \cdot ln(3) \right\} {{/formula}}
18
19 1. {{formula}} e^x=-5 \quad \mid ln( ) {{/formula}}
20 {{formula}}x=ln(-5){{/formula}}
21 keine Lösung!
22 {{formula}}\mathbb{L}= \left\{ \right\} {{/formula}}
23
24 1. {{formula}} 4\cdot 5^x=100 \quad \mid:4 {{/formula}}
25 {{formula}} 5^x=25 \quad \mid \text{Exponentenvergleich} {{/formula}}
26 {{formula}} 5^x=5^2 {{/formula}}
27 {{formula}} x=2 {{/formula}}
28 {{formula}}\mathbb{L}= \left\{ 2 \right\} {{/formula}}