(1/4)^{2x}=32^{4x-2}

Lösung

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

x = \frac{5}{12}

Dezimale

x = 0.41666 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

- 4 x = 5 (4 x - 2)

Löse

- 4 x = 5 (4 x - 2) : x = \frac{5}{12}

x = \frac{5}{12}

3^{2 x} = 243

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

5 (2)^{x + 1} = 9

7 e^{9 x} = 20

9^{3 x} = 2 7^{x - 2}