e^{5x}=7800

Lösung

e^{5 x} = 7800

x = \frac{ln ( 7800 )}{5}

Dezimale

x = 1.79237 \dots

Schritte zur Lösung

e^{5 x} = 7800

Wende Exponentenregel an

5 x = ln (7800)

Löse

5 x = ln (7800) : x = \frac{ln ( 7800 )}{5}

x = \frac{ln ( 7800 )}{5}

so l v e f or x, e^{x + y} = 0

so l v e f or x, e^{x + y} = 1

so l v e f or n, s = \frac{a ^{n}}{b}

6 \cdot 5^{3 x} = 468750

n = 3^{x}