e^{x+1}=5^{x+5}

Lösung

e^{x + 1} = 5^{x + 5}

x = \frac{5 ln ( 5 ) - 1}{1 - ln ( 5 )}

Dezimale

x = - 11.56342 \dots

Schritte zur Lösung

e^{x + 1} = 5^{x + 5}

Wende Exponentenregel an

x + 1 = (x + 5) ln (5)

Löse

x + 1 = (x + 5) ln (5) : x = \frac{5 ln ( 5 ) - 1}{1 - ln ( 5 )}

x = \frac{5 ln ( 5 ) - 1}{1 - ln ( 5 )}

5^{4 x + 3} = 30

e^{- x} = 0.05

2^{5 x} = 6

e^{x} + x + 1 = 0

5^{- 2 x} = 3