81^{5x-2}=243^{2x-6}

Lösung

8 1^{5 x - 2} = 24 3^{2 x - 6}

x = - \frac{11}{5}

Dezimale

x = - 2.2

Schritte zur Lösung

8 1^{5 x - 2} = 24 3^{2 x - 6}

Wende Exponentenregel an

4 (5 x - 2) = 5 (2 x - 6)

Löse

4 (5 x - 2) = 5 (2 x - 6) : x = - \frac{11}{5}

x = - \frac{11}{5}

3 x - 1 9 = 9^{x}

3 e^{3 x} - e^{x} = 0

2 n = 4^{p} \cdot 8^{n}

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

2 (2^{2 x}) - 6 (2^{x}) + 4 = 0