6^x=e^{x+8}

Lösung

6^{x} = e^{x + 8}

x = \frac{8}{ln ( 6 ) - 1}

Dezimale

x = 10.10407 \dots

Schritte zur Lösung

6^{x} = e^{x + 8}

Wende Exponentenregel an

x ln (6) = x + 8

Löse

x ln (6) = x + 8 : x = \frac{8}{ln ( 6 ) - 1}

x = \frac{8}{ln ( 6 ) - 1}

2 (3)^{2 x + 1} = 5^{x - 3}

4^{\frac{2 x}{3}} = 8^{x + 2}

67 \cdot 3^{2 x} = 536

9^{x} = (\frac{1}{9})^{x + 3}

(\frac{6}{5})^{n} = 16