9^x=e^{x+8}

Lösung

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

x = \frac{8}{2 ln ( 3 ) - 1}

Dezimale

x = 6.68212 \dots

Schritte zur Lösung

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

Wende Exponentenregel an

x ln (9) = x + 8

Löse

x ln (9) = x + 8 : x = \frac{8}{2 ln ( 3 ) - 1}

x = \frac{8}{2 ln ( 3 ) - 1}

6^{2 x - 3} = 6^{- 2 x + 1}

4^{3 x + 1} = 8^{x - 1}

9^{2 x - 3} = 27

4 \cdot 3^{4 x + 1} = 2

e^{2 x} - 8 e^{x} + 12 = 0