e^{x+2}=3^x

Lösung

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

x = \frac{2}{ln ( 3 ) - 1}

Dezimale

x = 20.28144 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

x + 2 = x ln (3)

Löse

x + 2 = x ln (3) : x = \frac{2}{ln ( 3 ) - 1}

x = \frac{2}{ln ( 3 ) - 1}

2 5^{x} - 2 \cdot 5^{x} - 8 = 0

2 7^{x + 2} = 81

e^{2 x} = e^{x + 1}

5 0^{40} 5 0^{n} = \frac{1}{25}

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