e^{3t+6}=3e^{6-t}

Lösung

e^{3 t + 6} = 3 e^{6 - t}

t = \frac{ln ( 3 )}{4}

Dezimale

t = 0.27465 \dots

Schritte zur Lösung

e^{3 t + 6} = 3 e^{6 - t}

Wende Exponentenregel an

3 t + 6 = ln (3) + 6 - t

Löse

3 t + 6 = ln (3) + 6 - t : t = \frac{ln ( 3 )}{4}

t = \frac{ln ( 3 )}{4}

25 = 5 (8)^{- 3 x - 1}

7^{x - 1} = 5

1 2^{x^{2} + 2 x + 3} = 1728

2^{2 x} = \frac{1}{8}

e^{- x} + 2 x - 1 = 0