de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

vereinfachen ln((2x^2+6x+6)/(x^{6/5)cos(x)})

Lösung

vereinfachen

ln (\frac{2 x ^{2} + 6 x + 6}{x ^{\frac{6}{5}} cos ( x )})

Lösung

ln (2 x^{2} + 6 x + 6) - \frac{6}{5} ln (x) - ln (cos (x))

Schritte zur Lösung

ln (\frac{2 x ^{2} + 6 x + 6}{x ^{\frac{6}{5}} cos ( x )})

Wende die log Regel an:

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

ln (\frac{2 x ^{2} + 6 x + 6}{x ^{\frac{6}{5}} cos ( x )}) = ln (2 x^{2} + 6 x + 6) - ln (x^{\frac{6}{5}} cos (x))

= ln (2 x^{2} + 6 x + 6) - ln (x^{\frac{6}{5}} cos (x))

Wende die log Regel an:

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

ln (x^{\frac{6}{5}} cos (x)) = ln (x^{\frac{6}{5}}) + ln (cos (x))

= ln (2 x^{2} + 6 x + 6) - (ln (x^{\frac{6}{5}}) + ln (cos (x)))

Wende die log Regel an:

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

ln (x^{\frac{6}{5}}) = \frac{6}{5} ln (x)

= ln (2 x^{2} + 6 x + 6) - (\frac{6}{5} ln (x) + ln (cos (x)))

- (\frac{6}{5} ln (x) + ln (cos (x))) : - \frac{6}{5} ln (x) - ln (cos (x))

= ln (2 x^{2} + 6 x + 6) - \frac{6}{5} ln (x) - ln (cos (x))

Beliebte Beispiele

vereinfachen 4ln(2/3)

s im pl i f y 4 ln (\frac{2}{3})

vereinfachen 1/3 ln(2/5)

s im pl i f y \frac{1}{3} ln (\frac{2}{5})

vereinfachen 3log_{0.4}(2)-3log_{0.4}(5)

s im pl i f y 3 lo g_{0.4} (2) - 3 lo g_{0.4} (5)

vereinfachen 3+3ln(2/3)

s im pl i f y 3 + 3 ln (\frac{2}{3})

vereinfachen-ln(x)+ln(((x-3)^2)/(x+1))

s im pl i f y - ln (x) + ln (\frac{( x - 3 ) ^{2}}{x + 1})