5^{4x+3}=30

Lösung

5^{4 x + 3} = 30

x = \frac{ln ( \frac{6}{25} )}{4 ln ( 5 )}

Dezimale

x = - 0.22167 \dots

Schritte zur Lösung

5^{4 x + 3} = 30

Wende Exponentenregel an

(4 x + 3) ln (5) = ln (30)

Löse

(4 x + 3) ln (5) = ln (30) : x = \frac{ln ( \frac{6}{25} )}{4 ln ( 5 )}

x = \frac{ln ( \frac{6}{25} )}{4 ln ( 5 )}

e^{- x} = 0.05

2^{5 x} = 6

e^{x} + x + 1 = 0

5^{- 2 x} = 3

8 = 60 t - 1800 + \frac{1800}{e ^{\frac{t}{30}}}