Wiki-Quellcode von Lösung Exponentialgleichungen lösen
Version 6.1 von Christoph Gommel am 2026/02/02 16:29
Verstecke letzte Bearbeiter
| author | version | line-number | content |
|---|---|---|---|
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4.1 | 1 | |
| 2 | a) | ||
| 3 | {{formula}} | ||
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3.1 | 4 | \begin{align*} |
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4.1 | 5 | 4\cdot 5^x+20=120 &&& \mid -20 \\ |
| 6 | 4\cdot 5^x=100 &&& \mid :4 \\ | ||
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5.1 | 7 | 5^x=25 &&& \\ |
| 8 | 5^x=5^2 &&& \mid Koeffizientenvergleich\\ | ||
| 9 | x=2 \\ | ||
| 10 | \mathbb{L}= \left\{ 2 \right\} | ||
| |
4.1 | 11 | \end{align*} |
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6.1 | 12 | {\{formula}} |
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5.1 | 13 | |
| 14 | b) | ||
| 15 | {{formula}} | ||
| 16 | \begin{align*} | ||
| 17 | 2\cdot (2^x+4)=8 &&& \mid :2 \\ | ||
| 18 | 4\cdot 5^x=100 &&& \mid :4 \\ | ||
| 19 | 5^x=25 &&& \\ | ||
| 20 | 5^x=5^2 &&& \mid Koeffizientenvergleich\\ | ||
| 21 | x=2 \\ | ||
| 22 | \mathbb{L}= \left\{ 2 \right\} | ||
| 23 | \end{align*} | ||
| |
6.1 | 24 | {\{formula}} |
| |
4.1 | 25 |