216^{3x}*216^x=36^{3x+2}

Lösung

21 6^{3 x} \cdot 21 6^{x} = 3 6^{3 x + 2}

x = \frac{2}{3}

Dezimale

x = 0.66666 \dots

Schritte zur Lösung

21 6^{3 x} \cdot 21 6^{x} = 3 6^{3 x + 2}

Wende Exponentenregel an

12 x = 2 (3 x + 2)

Löse

12 x = 2 (3 x + 2) : x = \frac{2}{3}

x = \frac{2}{3}

\frac{1}{6} = (\frac{1}{2})^{x}

3^{4 x - 4} = 81

8^{0.4 x} = 5

4 9^{x + 1} = (\frac{1}{7})^{x}

e^{x + 1} - 2^{3 - x} = 0