13^{2x+15}=169^{14-6x}

Lösung

1 3^{2 x + 15} = 16 9^{14 - 6 x}

x = \frac{13}{14}

Dezimale

x = 0.92857 \dots

Schritte zur Lösung

1 3^{2 x + 15} = 16 9^{14 - 6 x}

Wende Exponentenregel an

2 x + 15 = 2 (14 - 6 x)

Löse

2 x + 15 = 2 (14 - 6 x) : x = \frac{13}{14}

x = \frac{13}{14}

2^{- 2 x + 1} \cdot 8 = 2^{4 x}

8^{x} + 1 + 8^{1} - x = 20

- e^{- \frac{1}{2} x} + 1 = 0.4

(\frac{3}{5})^{x} = 2

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