5^{x^2}=25^{4-x}

Lösung

5^{x^{2}} = 2 5^{4 - x}

x = 2, x = - 4

Schritte zur Lösung

5^{x^{2}} = 2 5^{4 - x}

Wende Exponentenregel an

x^{2} = 2 (4 - x)

Löse

x^{2} = 2 (4 - x) : x = 2, x = - 4

x = 2, x = - 4

3^{x + 1} = 3^{5}

3^{2 x - 1} = 81

128 = \frac{5 ^{2 n - 5}}{2 ^{4 n}}

2^{x} = 36

7^{3 x - 2} = 2401