3^x=e^{x+6}

Lösung

3^{x} = e^{x + 6}

x = \frac{6}{ln ( 3 ) - 1}

Dezimale

x = 60.84434 \dots

Schritte zur Lösung

3^{x} = e^{x + 6}

Wende Exponentenregel an

x ln (3) = x + 6

Löse

x ln (3) = x + 6 : x = \frac{6}{ln ( 3 ) - 1}

x = \frac{6}{ln ( 3 ) - 1}

e^{x} - 5 + 4 e^{- x} = 0

1 0^{x^{2} - 1} = 1

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

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

2 \cdot 3^{x} = 5