0.25^{2x-1}=8^{x+3}

Lösung

0.2 5^{2 x - 1} = 8^{x + 3}

x = - 1

Schritte zur Lösung

0.2 5^{2 x - 1} = 8^{x + 3}

(\frac{1}{4})^{2 x - 1} = 8^{x + 3}

Wende Exponentenregel an

- 2 (2 x - 1) = 3 (x + 3)

Löse

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

x = - 1