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Beliebt Algebra >

ln(x^2)+2=ln(x^4)

Lösung

ln (x^{2}) + 2 = ln (x^{4})

Lösung

x = e, x = - e

+1

Dezimale

x = 2.71828 \dots, x = - 2.71828 \dots

Schritte zur Lösung

ln (x^{2}) + 2 = ln (x^{4})

Wende Exponentenregel an:

a^{2 \cdot n} = (a^{2})^{n}

x^{4} = (x^{2})^{2}

ln (x^{2}) + 2 = ln ((x^{2})^{2})

Wende die log Regel an

x^{2} = e^{2}

Löse

x^{2} = e^{2} : x = e, x = - e

x = e, x = - e

Überprüfe die Lösungen:

x = e

Wahr

, x = - e

Wahr

Die Lösungen sind

x = e, x = - e

Graph

Beliebte Beispiele

log_{10}(4)+log_{10}(x+4)=1

lo g_{10} (4) + lo g_{10} (x + 4) = 1

log_{10}(x)(32)= 1/4

lo g_{10} (x) (32) = \frac{1}{4}

2 lo g_{10} (x) = 6

log_{10}(x-1)+2=ln(x-1)+2

lo g_{10} (x - 1) + 2 = ln (x - 1) + 2

ln(log_{2}(x))=1

ln (lo g_{2} (x)) = 1