8^x=2+sqrt(7)

Lösung

8^{x} = 2 + 7

x = \frac{ln ( 2 + 7 )}{3 ln ( 2 )}

Dezimale

x = 0.73863 \dots

Schritte zur Lösung

8^{x} = 2 + 7

Wende Exponentenregel an

x ln (8) = ln (2 + 7)

Löse

x ln (8) = ln (2 + 7) : x = \frac{ln ( 2 + 7 )}{3 ln ( 2 )}

x = \frac{ln ( 2 + 7 )}{3 ln ( 2 )}

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

9^{x + 2} = 2 7^{x - 1}

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

9^{x + 2} = 2 7^{x - 3}

2^{\frac{x - 3}{2 x - 1}} = 8