Wiki-Quellcode von Lösung Basiswechel
Version 2.1 von Holger Engels am 2025/03/10 21:44
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| author | version | line-number | content |
|---|---|---|---|
| 1 | (% class="abc" %) | ||
| 2 | 1. ((({{formula}}f(x)=(\frac{1}{4})^x{{/formula}}, neue Basis {{formula}}b=2{{/formula}} | ||
| 3 | {{formula}}\frac{1}{4} = 2^{-2} \Rightarrow f(x)=2^{-2x}{{/formula}} | ||
| 4 | ))) | ||
| 5 | 1. ((({{formula}}f(x)=9^x{{/formula}}, neue Basis {{formula}}b=\frac{1}{3}{{/formula}} | ||
| 6 | {{formula}}9 = (\frac{1}{3})^{-2} \Rightarrow f(x)=(\frac{1}{3})^{-2x}{{/formula}} | ||
| 7 | ))) | ||
| 8 | 1. ((({{formula}}f(x)=5^{2x+1}{{/formula}}, neue Basis {{formula}}b=25{{/formula}} | ||
| 9 | {{formula}}5 = 25^{\frac{1}{2}} \Rightarrow f(x)=25^{\frac{1}{2}\cdot(2x+1)}=25^{x+\frac{1}{2}}{{/formula}} | ||
| 10 | ))) |