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

Lösung

1 2^{x - 2} = 2^{2 x - 4}

x = 2

Schritte zur Lösung

1 2^{x - 2} = 2^{2 x - 4}

Wende Exponentenregel an

(x - 2) ln (12) = (2 x - 4) ln (2)

Löse

(x - 2) ln (12) = (2 x - 4) ln (2) : x = 2

x = 2

2 e^{2 y} = \frac{e ^{2 y}}{2}

6^{3 x - 1} = 36

4^{x - 4} = 32

8 1^{x - 1} = 3^{8}

16 \cdot 4^{x - 2} = 8^{x^{2} - x}