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Beliebt Algebra >

(log_{10}(x^2))^2=1

Lösung

(lo g_{10} (x^{2}))^{2} = 1

Lösung

x = 10, x = - 10, x = \frac{1}{10}, x = - \frac{1}{10}

+1

Dezimale

x = 3.16227 \dots, x = - 3.16227 \dots, x = 0.31622 \dots, x = - 0.31622 \dots

Schritte zur Lösung

(lo g_{10} (x^{2}))^{2} = 1

Schreibe die Gleichung um mit

lo g_{10} (x^{2}) = u

(u)^{2} = 1

Löse

u^{2} = 1 : u = 1, u = - 1

u = 1, u = - 1

Setze

u = lo g_{10} (x^{2}) w i e d er e in,

löse für

x

Löse

lo g_{10} (x^{2}) = 1 : x = 10, x = - 10

Löse

lo g_{10} (x^{2}) = - 1 : x = \frac{1}{10}, x = - \frac{1}{10}

x = 10, x = - 10, x = \frac{1}{10}, x = - \frac{1}{10}

Überprüfe die Lösungen:

x = 10

Wahr

, x = - 10

Wahr

, x = \frac{1}{10}

Wahr

, x = - \frac{1}{10}

Wahr

Die Lösungen sind

x = 10, x = - 10, x = \frac{1}{10}, x = - \frac{1}{10}

Graph

Beliebte Beispiele

ln(x+2)=ln(12)-ln(x+3)

ln (x + 2) = ln (12) - ln (x + 3)

log_{10}(sqrt(C))=10

lo g_{10} (C) = 10

log_{10}(x)=-log_{10}(ab)

lo g_{10} (x) = - lo g_{10} (ab)

log_{2}(x/(10000))=50

lo g_{2} (\frac{x}{10000}) = 50

2ln(2)+2ln(x)=2ln(2x)

2 ln (2) + 2 ln (x) = 2 ln (2 x)