9^{9x+4}=243

Lösung

9^{9 x + 4} = 243

x = - \frac{1}{6}

Dezimale

x = - 0.16666 \dots

Schritte zur Lösung

9^{9 x + 4} = 243

Wende Exponentenregel an

2 (9 x + 4) = 5

Löse

2 (9 x + 4) = 5 : x = - \frac{1}{6}

x = - \frac{1}{6}

2^{3 x - 7} = 5^{x - 4}

6 4^{x - 4} = 1 6^{x - 3}

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

3^{2 x - 7} = 27

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