55=31^x

Lösung

55 = 3 1^{x}

x = \frac{ln ( 55 )}{ln ( 31 )}

Dezimale

x = 1.16696 \dots

Schritte zur Lösung

55 = 3 1^{x}

Wende Exponentenregel an

ln (55) = x ln (31)

Löse

ln (55) = x ln (31) : x = \frac{ln ( 55 )}{ln ( 31 )}

x = \frac{ln ( 55 )}{ln ( 31 )}

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

3^{x} \cdot 4^{(2 x + 1)} = 6^{x + 2}

e^{- 2 x} - 3 e^{- x} = - 2

100000 = 50000 \cdot (1 + 0.04)^{n}

10 e^{6 x} = 5 e^{- 3 x}