5^{x^2}=25^x

Lösung

5^{x^{2}} = 2 5^{x}

x = 2, x = 0

Schritte zur Lösung

5^{x^{2}} = 2 5^{x}

Wende Exponentenregel an

x^{2} = 2 x

Löse

x^{2} = 2 x : x = 2, x = 0

x = 2, x = 0

2^{x} = \frac{4 ^{7}}{8 ^{3}}

2^{2 x - 7} - 9 \cdot 2^{x - 1} + 256 = 0

x 81 = 3

4^{2 x + 1} = 0. 5^{3 x + 2}

9^{x + 1} = 2 7^{2 x - 5}