e^{[2ln(x)-ln(x^2+x-3)]}=1

Lösung

e^{[2 l n (x) - l n (x^{2} + x - 3)]} = 1

x = 3

Schritte zur Lösung

e^{[2 l n (x) - l n (x^{2} + x - 3)]} = 1

Wende Exponentenregel an

[2 ln (x) - ln (x^{2} + x - 3)] = ln (1)

Löse

[2 ln (x) - ln (x^{2} + x - 3)] = ln (1) : x = 3

x = 3

0. 5^{x} = 0.25

so l v e f or x, 2 e^{- 2 x} = 5

e^{x} - 4 x = 0

x^{8} = e^{x}

so l v e f or x, e^{x} = 5