(1/8)^x=25

Lösung

(\frac{1}{8})^{x} = 25

x = - \frac{2 ln ( 5 )}{3 ln ( 2 )}

Dezimale

x = - 1.54795 \dots

Schritte zur Lösung

(\frac{1}{8})^{x} = 25

Wende Exponentenregel an

x ln (\frac{1}{8}) = ln (25)

Löse

x ln (\frac{1}{8}) = ln (25) : x = - \frac{2 ln ( 5 )}{3 ln ( 2 )}

x = - \frac{2 ln ( 5 )}{3 ln ( 2 )}

1 0^{2 x} = 10

5^{x + 3} - 2 \cdot 5^{x + 2} = 375

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

3 9^{7} = 3^{x}

e^{\frac{x}{2}} = 5