(1/4)^{9x-5}=32^{x+8}

Lösung

(\frac{1}{4})^{9 x - 5} = 3 2^{x + 8}

x = - \frac{30}{23}

Dezimale

x = - 1.30434 \dots

Schritte zur Lösung

(\frac{1}{4})^{9 x - 5} = 3 2^{x + 8}

Wende Exponentenregel an

- 2 (9 x - 5) = 5 (x + 8)

Löse

- 2 (9 x - 5) = 5 (x + 8) : x = - \frac{30}{23}

x = - \frac{30}{23}

2 5^{3 x - 1} = 5

9^{x + 2} = (\frac{1}{27})^{x - 3}

2^{x} = 1.5

4^{x} - 2^{x} - 12 = 0

2 7^{5 x - 4} = 8 1^{7 x - 2}