1.06^x=4.1

Lösung

1.0 6^{x} = 4.1

x = \frac{ln ( 4.1 )}{ln ( 1.06 )}

Dezimale

x = 24.21509 \dots

Schritte zur Lösung

1.0 6^{x} = 4.1

Wende Exponentenregel an

x ln (1.06) = ln (4.1)

Löse

x ln (1.06) = ln (4.1) : x = \frac{ln ( 4.1 )}{ln ( 1.06 )}

x = \frac{ln ( 4.1 )}{ln ( 1.06 )}

e^{2 x} = 1.5 (2) + x

\frac{3}{4} \cdot 2^{n - 2} = 768

2 e^{2 x} - 2 = 0

t^{2} e^{t} + 2 t e^{t} - 8 e^{t} = 0

ln (\frac{8}{e ^{4 x}}) = 24