5000=3^{n-1}

Lösung

5000 = 3^{n - 1}

n = \frac{ln ( 5000 )}{ln ( 3 )} + 1

Dezimale

n = 8.75268 \dots

Schritte zur Lösung

5000 = 3^{n - 1}

Wende Exponentenregel an

ln (5000) = (n - 1) ln (3)

Löse

ln (5000) = (n - 1) ln (3) : n = \frac{ln ( 5000 )}{ln ( 3 )} + 1

n = \frac{ln ( 5000 )}{ln ( 3 )} + 1

1.618 = 2^{x}

\frac{1}{2} \cdot 2^{(x - 3)} = 32

5^{n + 1} = \frac{1}{125}

3^{3 x + 5} = 9^{x + 1}

150 = 350 - 335 e^{x (15)}