4^{-3t}=0.1

Lösung

4^{- 3 t} = 0.1

t = - \frac{ln ( 0.1 )}{6 ln ( 2 )}

Dezimale

t = 0.55365 \dots

Schritte zur Lösung

4^{- 3 t} = 0.1

Wende Exponentenregel an

- 3 t ln (4) = ln (0.1)

Löse

- 3 t ln (4) = ln (0.1) : t = - \frac{ln ( 0.1 )}{6 ln ( 2 )}

t = - \frac{ln ( 0.1 )}{6 ln ( 2 )}

4^{(2 x + 1)} = 1024

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

62 5^{x - 2} = 12 5^{x + 3}

8^{5 x} = \frac{1}{1 6 ^{4 x + 2}}

e^{2 - 3 x} = 5 - 3 x