1.05^x=50000

Lösung

1.0 5^{x} = 50000

x = \frac{ln ( 50000 )}{ln ( 1.05 )}

Dezimale

x = 221.76146 \dots

Schritte zur Lösung

1.0 5^{x} = 50000

Wende Exponentenregel an

x ln (1.05) = ln (50000)

Löse

x ln (1.05) = ln (50000) : x = \frac{ln ( 50000 )}{ln ( 1.05 )}

x = \frac{ln ( 50000 )}{ln ( 1.05 )}

so l v e f or a, (a^{b})^{2} = b^{a}

4^{x} - 3 = 2^{x + 1}

\frac{15 + 5 e ^{4 - x}}{5} + 3 = 13

4^{r} - 80 = 0

50 e^{0.035 x} = 200