vereinfachen 4ln(x+6/4)+ln(x+1)

Lösung

vereinfachen

4 ln (x + \frac{6}{4}) + ln (x + 1)

ln ((x + \frac{3}{2})^{4} (x + 1))

Schritte zur Lösung

4 ln (x + \frac{6}{4}) + ln (x + 1)

Wende die log Regel an:

a lo g_{c} (b) = lo g_{c} (b^{a})

4 ln (x + \frac{6}{4}) = ln ((x + \frac{6}{4})^{4})

= ln ((x + \frac{6}{4})^{4}) + ln (x + 1)

Wende die log Regel an:

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

ln ((x + \frac{6}{4})^{4}) + ln (x + 1) = ln ((x + 1) (x + \frac{6}{4})^{4})

= ln ((x + \frac{6}{4})^{4} (x + 1))

(x + \frac{6}{4})^{4} = (x + \frac{3}{2})^{4}

= ln ((x + \frac{3}{2})^{4} (x + 1))

s im pl i f y ln (r^{7} s^{10} 3 r^{8} s^{5})

e x p an d lo g_{9} ((x y^{3})^{3})

s im pl i f y lo g_{10} (x^{3} y^{4} 7 x^{3} y^{9})

e x p an d ln \frac{( 3 w ^{2} z ^{6} )}{x ^{3} y ^{4}}

s im pl i f y lo g_{b} (\frac{y ^{4}}{x ^{3} x ^{2}})