(1/8)^{5x}=32^{x+8}

Lösung

(\frac{1}{8})^{5 x} = 3 2^{x + 8}

x = - 2

Schritte zur Lösung

(\frac{1}{8})^{5 x} = 3 2^{x + 8}

Wende Exponentenregel an

- 15 x = 5 (x + 8)

Löse

- 15 x = 5 (x + 8) : x = - 2

x = - 2

2^{2 x - 3} = 5^{2 - x}

0. 5^{x} = 0.15

5^{2 x - 1} = 0.2

100 = 75 e^{0.05 x}

1 4^{6 x} = 6 4^{x + 3}