8^{2x}=4^{x+2}

Lösung

8^{2 x} = 4^{x + 2}

x = 1

Schritte zur Lösung

8^{2 x} = 4^{x + 2}

Wende Exponentenregel an

6 x = 2 (x + 2)

Löse

6 x = 2 (x + 2) : x = 1

x = 1

4^{2 x - 1} = 8^{x - 3}

(4^{3 - x})^{2 - x} = 1

4 e^{- 3 x} = 2

1 + e^{\frac{1}{x}} = 0

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