25=0.25^x

Lösung

25 = 0.2 5^{x}

x = \frac{2 ln ( 5 )}{ln ( 0.25 )}

Dezimale

x = - 2.32192 \dots

Schritte zur Lösung

25 = 0.2 5^{x}

Wende Exponentenregel an

ln (25) = x ln (0.25)

Löse

ln (25) = x ln (0.25) : x = \frac{2 ln ( 5 )}{ln ( 0.25 )}

x = \frac{2 ln ( 5 )}{ln ( 0.25 )}

e^{- x} x - 2 e^{- x} = 0

1 2^{t} = 24

\frac{e ^{x} + e ^{- x}}{2} = 4

- 3 = 4 e^{x} + x - 7

\frac{1}{6} = 6^{4 x - 3}