16^{3x-6}=64^{x+2}

Lösung

1 6^{3 x - 6} = 6 4^{x + 2}

x = 6

Schritte zur Lösung

1 6^{3 x - 6} = 6 4^{x + 2}

Wende Exponentenregel an

2 (3 x - 6) = 3 (x + 2)

Löse

2 (3 x - 6) = 3 (x + 2) : x = 6

x = 6

2^{x} + 2^{x - 3} = 18

2^{20} = 3^{x}

4^{2 x} + 8^{2 x + 1} = \frac{1}{32}

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

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