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

Lösung

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

x = 1

Schritte zur Lösung

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

Wende Exponentenregel an

2 x - 3 = - 2 x + 1

Löse

2 x - 3 = - 2 x + 1 : x = 1

x = 1

4^{3 x + 1} = 8^{x - 1}

9^{2 x - 3} = 27

4 \cdot 3^{4 x + 1} = 2

e^{2 x} - 8 e^{x} + 12 = 0

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