3.6=(1.025)^n

Lösung

3.6 = (1.025)^{n}

n = \frac{ln ( 3.6 )}{ln ( 1.025 )}

Dezimale

n = 51.87518 \dots

Schritte zur Lösung

3.6 = (1.025)^{n}

Wende Exponentenregel an

ln (3.6) = n ln (1.025)

Löse

ln (3.6) = n ln (1.025) : n = \frac{ln ( 3.6 )}{ln ( 1.025 )}

n = \frac{ln ( 3.6 )}{ln ( 1.025 )}

6 e^{3 x} - 18 e^{- 2 x} = 0

2^{x} = 10

2^{x} = 12

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

1 1^{x - 4} = 8^{- 4 x}