e^{14-2x}<8

Lösung

e^{14 - 2 x} < 8

x > \frac{- 3 ln ( 2 ) + 14}{2}

Intervall-Notation

(\frac{- 3 ln ( 2 ) + 14}{2}, \infty)

Dezimale

x > 5.96027 \dots

Schritte zur Lösung

e^{14 - 2 x} < 8

Wende Exponentenregel an

14 - 2 x < 3 ln (2)

14 - 2 x < 3 ln (2) : x > \frac{- 3 ln ( 2 ) + 14}{2}

x > \frac{- 3 ln ( 2 ) + 14}{2}

s im pl i f y \frac{2}{5} \times \frac{2}{5} \times \frac{2}{5}

3 x - 5 < 4

\frac{x + 8}{x - 3} < 0

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

∣ x + 6 ∣ \leq 8