Wiki-Quellcode von Lösung Logarithmen und Exponentialgleichungen
Zuletzt geändert von Simone Hochrein am 2026/02/04 16:07
Verstecke letzte Bearbeiter
| author | version | line-number | content |
|---|---|---|---|
 |
1.1 | 1 | (% class="abc" %) |
| |
2.1 | 2 | 1. (((Lösung |
| |
1.1 | 3 | {{formula}} |
| 4 | \begin{aligned} | ||
| |
2.1 | 5 | 49^{x} &= 343 & \text{| } \log_{49}(\dots) \\ |
| 6 | x &= \log_{49}(343) \\ | ||
| |
1.1 | 7 | x &= 1,5 |
| 8 | \end{aligned} | ||
| |
2.1 | 9 | {{/formula}}))) |
| 10 | 1. (((Lösung | ||
| |
1.1 | 11 | {{formula}} |
| 12 | \begin{aligned} | ||
| 13 | 4^{0,6x+1,5} + 38 &= 550 & |- 38 \\ | ||
| |
2.1 | 14 | 4^{0,6x+1,5} &= 512 & \text{| } \log_{4}(\dots) \\ |
| 15 | 0,6x + 1,5 &= \log_{4}(512) \\ | ||
| 16 | 0,6x + 1,5 &= 4,5 & |- 1,5 \\ | ||
| 17 | 0,6x &= 3 & |: 0,6 \\ | ||
| |
1.1 | 18 | x &= 5 |
| 19 | \end{aligned} | ||
| 20 | {{/formula}} | ||
| |
2.1 | 21 | ))) |
| 22 | 1. (((Lösung | ||
| |
1.1 | 23 | {{formula}} |
| 24 | \begin{aligned} | ||
| 25 | \log_{x}(7776) &= 5 & \text{| Definition des Logarithmus} \\ | ||
| 26 | x^{5} &= 7776 & |\sqrt[5]{\dots} \\ | ||
| 27 | x &= \sqrt[5]{7776} \\ | ||
| 28 | x &= 6 | ||
| 29 | \end{aligned} | ||
| |
2.1 | 30 | {{/formula}}))) |