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Beliebt Algebra >

log_{10}(y^{10})=2

Lösung

lo g_{10} (y^{10}) = 2

Lösung

y = 1 0^{\frac{1}{5}}, y = - 1 0^{\frac{1}{5}}

+1

Dezimale

y = 1.58489 \dots, y = - 1.58489 \dots

Schritte zur Lösung

lo g_{10} (y^{10}) = 2

Wende Exponentenregel an:

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

y^{10} = (y^{2})^{5}

lo g_{10} ((y^{2})^{5}) = 2

Wende die log Regel an

y^{2} = 1 0^{\frac{2}{5}}

Löse

y^{2} = 1 0^{\frac{2}{5}} : y = 1 0^{\frac{1}{5}}, y = - 1 0^{\frac{1}{5}}

y = 1 0^{\frac{1}{5}}, y = - 1 0^{\frac{1}{5}}

Überprüfe die Lösungen:

y = 1 0^{\frac{1}{5}}

Wahr

, y = - 1 0^{\frac{1}{5}}

Wahr

Die Lösungen sind

y = 1 0^{\frac{1}{5}}, y = - 1 0^{\frac{1}{5}}

Graph

Beliebte Beispiele

2log_{10}(x)+1=5

2 lo g_{10} (x) + 1 = 5

2log_{sqrt(2)}(x)=4

2 lo g_{2} (x) = 4

(ln(x))^2=10-9ln(x)

(ln (x))^{2} = 10 - 9 ln (x)

ln(x+9)+ln(x-5)=2ln(x)

ln (x + 9) + ln (x - 5) = 2 ln (x)

x ln (x) = 6 ln (x)