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Beliebt Algebra >

ln(x^4)=0.7

Lösung

ln (x^{4}) = 0.7

Lösung

x = e^{0.35}, x = - e^{0.35}

+1

Dezimale

x = 1.19124 \dots, x = - 1.19124 \dots

Schritte zur Lösung

ln (x^{4}) = 0.7

Wende Exponentenregel an:

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

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

ln ((x^{2})^{2}) = 0.7

Wende die log Regel an

x^{2} = e^{0.35}

Löse

x^{2} = e^{0.35} : x = e^{0.35}, x = - e^{0.35}

x = e^{0.35}, x = - e^{0.35}

Überprüfe die Lösungen:

x = e^{0.35}

Wahr

, x = - e^{0.35}

Wahr

Die Lösungen sind

x = e^{0.35}, x = - e^{0.35}

Graph

Beliebte Beispiele

lo g_{x} (1) = 0

0.567 = ln (x^{2})

2log_{3}(x)-1=log_{3}(2x-3)

2 lo g_{3} (x) - 1 = lo g_{3} (2 x - 3)

ln(x)+ln(x-3)=ln(7x)

ln (x) + ln (x - 3) = ln (7 x)

log_{3}(x+2)+log_{3}(x-4)=3

lo g_{3} (x + 2) + lo g_{3} (x - 4) = 3