3^{2x-2}=5^{x-1}

Lösung

3^{2 x - 2} = 5^{x - 1}

x = 1

Schritte zur Lösung

3^{2 x - 2} = 5^{x - 1}

Wende Exponentenregel an

(2 x - 2) ln (3) = (x - 1) ln (5)

Löse

(2 x - 2) ln (3) = (x - 1) ln (5) : x = 1

x = 1

3 - x = 3 e^{- x}

∣ 2 (3^{x}) - 4 ∣ = 8

so l v e f or t, e^{- 4 u} = e^{2 t}

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

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