27^{x-3}=81^{2x-4}

Lösung

2 7^{x - 3} = 8 1^{2 x - 4}

x = \frac{7}{5}

Dezimale

x = 1.4

Schritte zur Lösung

2 7^{x - 3} = 8 1^{2 x - 4}

Wende Exponentenregel an

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

Löse

3 (x - 3) = 4 (2 x - 4) : x = \frac{7}{5}

x = \frac{7}{5}

2 (e^{- x^{2}} - 2 e^{- x^{2}} x^{2}) = 0

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

e^{2 x} + 2 e^{x} - 3 = 0

e^{- x} (1 - x) = 0

9 \cdot 2 0^{x} = 100