vereinfachen ln((6x^2)/(y^4))

Lösung

vereinfachen

ln (\frac{6 x ^{2}}{y ^{4}})

ln (6) + 2 ln (x) - 4 ln (y)

Schritte zur Lösung

ln (\frac{6 x ^{2}}{y ^{4}})

Wende die log Regel an:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{6 x ^{2}}{y ^{4}}) = ln (6 x^{2}) - ln (y^{4})

= ln (6 x^{2}) - ln (y^{4})

Wende die log Regel an:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (y^{4}) = 4 ln (y)

= ln (6 x^{2}) - 4 ln (y)

Wende die log Regel an:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (6 x^{2}) = ln (6) + ln (x^{2})

= ln (6) + ln (x^{2}) - 4 ln (y)

Wende die log Regel an:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

= ln (6) + 2 ln (x) - 4 ln (y)

s im pl i f y - \frac{40}{( 4 ( 4 ) - 5 ) ^{2}}

3 w^{2} + 24 w = 0

s im pl i f y (2 x^{2} y)^{2}

3 x^{2} + 4 x = 6

9 a - 2 = - 10 + a