e^{2x}=e^8-5

Lösung

e^{2 x} = e^{8} - 5

x = \frac{ln ( e ^{8} - 5 )}{2}

Dezimale

x = 3.99916 \dots

Schritte zur Lösung

e^{2 x} = e^{8} - 5

Wende Exponentenregel an

2 x = ln (e^{8} - 5)

Löse

2 x = ln (e^{8} - 5) : x = \frac{ln ( e ^{8} - 5 )}{2}

x = \frac{ln ( e ^{8} - 5 )}{2}

3 = 1 0^{x}

4^{x} - 2^{x} - 2 = 0

3^{x - 1} = 4

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

x 16 = 4^{x}