(1/4)^{4x}=0.25

Lösung

(\frac{1}{4})^{4 x} = 0.25

x = - \frac{ln ( 0.25 )}{8 ln ( 2 )}

Dezimale

x = 0.25

Schritte zur Lösung

(\frac{1}{4})^{4 x} = 0.25

Wende Exponentenregel an

4 x ln (\frac{1}{4}) = ln (0.25)

Löse

4 x ln (\frac{1}{4}) = ln (0.25) : x = - \frac{ln ( 0.25 )}{8 ln ( 2 )}

x = - \frac{ln ( 0.25 )}{8 ln ( 2 )}

e^{2 x} - e^{x} = 6

2^{x} = 2 + 3 x

3^{x} = 3

\frac{1 3 ^{5}}{1 3 ^{x}} = 1 3^{4}

6^{x + 1} + 6^{3 - x} = 222