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

Lösung

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

x = \frac{3 + 13}{2}, x = - \frac{3 + 13}{2}

Dezimale

x = 1.81735 \dots, x = - 1.81735 \dots

Schritte zur Lösung

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

Wende die log Regel an

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

Löse

1 = x^{2} (x^{2} - 3) : x = \frac{3 + 13}{2}, x = - \frac{3 + 13}{2}

x = \frac{3 + 13}{2}, x = - \frac{3 + 13}{2}

Überprüfe die Lösungen:

x = \frac{3 + 13}{2}

Wahr

, x = - \frac{3 + 13}{2}

Wahr

Die Lösungen sind

x = \frac{3 + 13}{2}, x = - \frac{3 + 13}{2}

so l v e f or u, lo g_{u} (\frac{15}{16}) = v

140 = 20 lo g_{10} (\frac{75000}{x})

x = ln (9 - x)

lo g_{3} ((2 + x)^{2}) = 6

lo g_{3} (x - 5) + lo g_{3} (x + 2) = lo g_{3} (8)