64^{x^2}=256^x

Lösung

6 4^{x^{2}} = 25 6^{x}

x = 0, x = \frac{4}{3}

Dezimale

x = 0, x = 1.33333 \dots

Schritte zur Lösung

6 4^{x^{2}} = 25 6^{x}

Wende Exponentenregel an

3 x^{2} = 4 x

Löse

3 x^{2} = 4 x : x = 0, x = \frac{4}{3}

x = 0, x = \frac{4}{3}

8 \cdot 3^{n - 1} - 21 = 3

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

1 - 2 e^{- 2 x} = 0

9^{x} + 3 = 28

2^{(5 x + 2)} = 14