2^{x^3}=32^x

Lösung

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

x = 0, x = - 5, x = 5

Dezimale

x = 0, x = - 2.23606 \dots, x = 2.23606 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

x^{3} = 5 x

Löse

x^{3} = 5 x : x = 0, x = - 5, x = 5

x = 0, x = - 5, x = 5

129 6^{3 x - 3} = 21 6^{3 x - 5}

2^{x - 4} = 3 2^{x + 4}

5^{- x + 2} = 1 1^{7 x}

3^{- 2 x + 1} \cdot 3^{- 2 x - 3} = 3^{- x}

e^{x} + \frac{1}{2} = 0