6^{x^3}=216^x

Lösung

6^{x^{3}} = 21 6^{x}

x = 0, x = - 3, x = 3

Dezimale

x = 0, x = - 1.73205 \dots, x = 1.73205 \dots

Schritte zur Lösung

6^{x^{3}} = 21 6^{x}

Wende Exponentenregel an

x^{3} = 3 x

Löse

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

x = 0, x = - 3, x = 3

3^{l o g_{27} (3 x - 2)} = 7

e^{x^{2}} = e^{16 x} \cdot \frac{1}{e ^{63}}

5^{x - 4} = 25

5^{x} - \frac{1}{5 ^{x - 2}} = 24

1 0^{6 x} = 3^{3 x + 4}