7^{12x}=7^{2x-2}

Lösung

7^{12 x} = 7^{2 x - 2}

x = - \frac{1}{5}

Dezimale

x = - 0.2

Schritte zur Lösung

7^{12 x} = 7^{2 x - 2}

Wende Exponentenregel an

12 x = 2 x - 2

Löse

12 x = 2 x - 2 : x = - \frac{1}{5}

x = - \frac{1}{5}

8^{2 x} = \frac{1}{64}

25 6^{x} = 0.25

(\frac{1}{8})^{x} = 25

1 0^{2 x} = 10

5^{x + 3} - 2 \cdot 5^{x + 2} = 375