7776^{2x+4}=1296^{2x+1}

Lösung

777 6^{2 x + 4} = 129 6^{2 x + 1}

x = - 8

Schritte zur Lösung

777 6^{2 x + 4} = 129 6^{2 x + 1}

Wende Exponentenregel an

5 (2 x + 4) = 4 (2 x + 1)

Löse

5 (2 x + 4) = 4 (2 x + 1) : x = - 8

x = - 8

8^{x} = \frac{1}{64}

4^{2 x} = \frac{1}{2}

4^{x} = 53

6 4^{- x + 52} = 12 8^{x}

e^{- 6 x} = 0