What is ln(x/((x+1)(x+2))) ?

The solution to ln(x/((x+1)(x+2))) is ln(x)-ln(x+1)-ln(x+2)

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simplify ln(x/((x+1)(x+2)))

simplify

ln (\frac{x}{( x + 1 ) ( x + 2 )})

ln (x) - ln (x + 1) - ln (x + 2)

Solution steps

ln (\frac{x}{( x + 1 ) ( x + 2 )})

Apply log rule:

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

ln (\frac{x}{( x + 1 ) ( x + 2 )}) = ln (x) - ln ((x + 1) (x + 2))

= ln (x) - ln ((x + 1) (x + 2))

Apply log rule:

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

ln ((x + 1) (x + 2)) = ln (x + 1) + ln (x + 2)

= ln (x) - (ln (x + 1) + ln (x + 2))

- (ln (x + 1) + ln (x + 2)) : - ln (x + 1) - ln (x + 2)

= ln (x) - ln (x + 1) - ln (x + 2)

\frac{1}{3} ln (\frac{5}{3} + 3)

ln (0.7721 \cdot π)

ln (6) + ln (\frac{e ^{(2.11367)}}{3})

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

ln (\frac{140}{125})

What is ln(x/((x+1)(x+2))) ?
The solution to ln(x/((x+1)(x+2))) is ln(x)-ln(x+1)-ln(x+2)