3^{5x-4}=9^{2x-3}

Lösung

3^{5 x - 4} = 9^{2 x - 3}

x = - 2

Schritte zur Lösung

3^{5 x - 4} = 9^{2 x - 3}

Wende Exponentenregel an

5 x - 4 = 2 (2 x - 3)

Löse

5 x - 4 = 2 (2 x - 3) : x = - 2

x = - 2

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

4 e^{2 x} = 12

\frac{10}{1 + e ^{- x}} = 2

12 5^{x + 2} = 62 5^{x + 6}

2^{3 x} = 8^{1 - x}