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Beliebt Rechnen >

vereinfachen ln((5x+2)(3x-4)^2)

Lösung

vereinfachen

ln ((5 x + 2) (3 x - 4)^{2})

Lösung

ln (5 x + 2) + 2 ln (3 x - 4)

Schritte zur Lösung

ln ((5 x + 2) (3 x - 4)^{2})

Wende die log Regel an:

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

ln ((5 x + 2) (3 x - 4)^{2}) = ln (5 x + 2) + ln ((3 x - 4)^{2})

= ln (5 x + 2) + ln ((3 x - 4)^{2})

Wende die log Regel an:

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

ln ((3 x - 4)^{2}) = 2 ln (3 x - 4)

= ln (5 x + 2) + 2 ln (3 x - 4)

Beliebte Beispiele

y^{''}-4y^'+4y=x^2

y^{^{''}} - 4 y^{^{'}} + 4 y = x^{2}

taylor (x+1)^{1/2}

t a y l or (x + 1)^{\frac{1}{2}}

y^'=6x(y-1)^{2/3}

y^{^{'}} = 6 x (y - 1)^{\frac{2}{3}}

y^{''}+2sqrt(14)y^'+14y=0

y^{^{''}} + 214 y^{^{'}} + 14 y = 0

y^'+3/x y=x^2y^2

y^{^{'}} + \frac{3}{x} y = x^{2} y^{2}