log_{10}(x^4)=(-2)/5

Lösung

lo g_{10} (x^{4}) = \frac{- 2}{5}

x = \frac{1}{5 10}, x = - \frac{1}{5 10}

Dezimale

x = 0.79432 \dots, x = - 0.79432 \dots

Schritte zur Lösung

lo g_{10} (x^{4}) = \frac{- 2}{5}

Wende Exponentenregel an:

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

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

lo g_{10} ((x^{2})^{2}) = \frac{- 2}{5}

Wende die log Regel an

x^{2} = \frac{1}{5 10}

Löse

x^{2} = \frac{1}{5 10} : x = \frac{1}{5 10}, x = - \frac{1}{5 10}

x = \frac{1}{5 10}, x = - \frac{1}{5 10}

Überprüfe die Lösungen:

x = \frac{1}{5 10}

Wahr

, x = - \frac{1}{5 10}

Wahr

Die Lösungen sind

x = \frac{1}{5 10}, x = - \frac{1}{5 10}

so l v e f or x, z = ln (x + y - 5)

x + 1 = 4^{l o g_{2} (x - 1)}

ln (x) = a + b

10 = 8 + lo g_{10} (x)

lo g_{2} (x) - lo g_{4} (x^{2}) = 4