e^{2x-1}=e^4

Lösung

e^{2 x - 1} = e^{4}

x = \frac{5}{2}

Dezimale

x = 2.5

Schritte zur Lösung

e^{2 x - 1} = e^{4}

Wende Exponentenregel an

2 x - 1 = 4

Löse

2 x - 1 = 4 : x = \frac{5}{2}

x = \frac{5}{2}

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

4^{2 x + 1} = 8^{3 x + 4}

so l v e f or x, x = e^{- t}

roo t s e^{x}

8 \times 2^{x} = 4