sqrt(4^{2x-1)}=8^{x-3}

Lösung

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

x = 8

Schritte zur Lösung

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

Wende Exponentenregel an

2 x - 1 = 3 (x - 3)

Löse

2 x - 1 = 3 (x - 3) : x = 8

x = 8

(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}

2 7^{a} = 243