5e^{3t}=8e^{2t}

Lösung

5 e^{3 t} = 8 e^{2 t}

t = 3 ln (2) - ln (5)

Dezimale

t = 0.47000 \dots

Schritte zur Lösung

5 e^{3 t} = 8 e^{2 t}

Wende Exponentenregel an

ln (5) + 3 t = ln (8) + 2 t

Löse

ln (5) + 3 t = ln (8) + 2 t : t = 3 ln (2) - ln (5)

t = 3 ln (2) - ln (5)

125 = (\frac{1}{25})^{y - 1}

3 e^{2 x} + 5 = 16 e^{x}

450000 = 200000 (1 + 0.16)^{x}

3 (2^{x + 4}) = 228

2^{5 x + 15} = 3 2^{x + 3}