(1/2)^{3a}=2^{3a+3}

Lösung

(\frac{1}{2})^{3 a} = 2^{3 a + 3}

a = - \frac{1}{2}

Dezimale

a = - 0.5

Schritte zur Lösung

(\frac{1}{2})^{3 a} = 2^{3 a + 3}

Wende Exponentenregel an

- 3 a = 3 a + 3

Löse

- 3 a = 3 a + 3 : a = - \frac{1}{2}

a = - \frac{1}{2}

2^{x - 2} = \frac{8}{2 ^{x - 3}}

5^{2 x} - 6 \cdot 5^{x} + 5 = 0

(\frac{1}{2})^{x} = 16

3^{- 2 x + 1} = 27

e^{2 x} = 7