e^{2x+1}=3

Lösung

e^{2 x + 1} = 3

x = \frac{ln ( 3 ) - 1}{2}

Dezimale

x = 0.04930 \dots

Schritte zur Lösung

e^{2 x + 1} = 3

Wende Exponentenregel an

2 x + 1 = ln (3)

Löse

2 x + 1 = ln (3) : x = \frac{ln ( 3 ) - 1}{2}

x = \frac{ln ( 3 ) - 1}{2}

e^{- x} = \frac{1}{2}

e^{6 x} + 10 e^{3 x} - 11 = 0

(\frac{1}{3})^{x} = 27

so l v e f or x, 2^{x} = 2^{y}

9^{5 x} = 1024