2^{x^3}=64^x

Lösung

2^{x^{3}} = 6 4^{x}

x = 0, x = - 6, x = 6

Dezimale

x = 0, x = - 2.44948 \dots, x = 2.44948 \dots

Schritte zur Lösung

2^{x^{3}} = 6 4^{x}

Wende Exponentenregel an

x^{3} = 6 x

Löse

x^{3} = 6 x : x = 0, x = - 6, x = 6

x = 0, x = - 6, x = 6

e^{e^{2 x}} = 3

2^{x} = 44

3 \times 3^{x} - 2 \times 3^{- x} = 1

3^{x^{2} + 1} = \frac{1}{9}

6^{x} = 3^{x + 1}