e^{x-7}=8^{4x}

Lösung

e^{x - 7} = 8^{4 x}

x = \frac{7}{1 - 12 ln ( 2 )}

Dezimale

x = - 0.95657 \dots

Schritte zur Lösung

e^{x - 7} = 8^{4 x}

Wende Exponentenregel an

x - 7 = 4 x ln (8)

Löse

x - 7 = 4 x ln (8) : x = \frac{7}{1 - 12 ln ( 2 )}

x = \frac{7}{1 - 12 ln ( 2 )}

1.0 2^{x} = 2

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

3^{2 x - 3} = 9

7^{2 x + 3} - 8 \cdot 7^{x + 1} + 1 = 0

(0.5)^{\frac{9900}{x}} = 0