e^{2x-2}=4

Lösung

e^{2 x - 2} = 4

x = \frac{2 ln ( 2 ) + 2}{2}

Dezimale

x = 1.69314 \dots

Schritte zur Lösung

e^{2 x - 2} = 4

Wende Exponentenregel an

2 x - 2 = ln (4)

Löse

2 x - 2 = ln (4) : x = \frac{2 ln ( 2 ) + 2}{2}

x = \frac{2 ln ( 2 ) + 2}{2}

2^{2 x} - 6 \cdot 2^{x} - 16 = 0

2^{x - 5} = 5^{2 x + 6}

3^{x + 2} + 3^{x + 1} = 108

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

8^{2 x + 1} = 12 8^{x - 3}