What is ln(((x+1)(x+2))/(x+3)) ?

The solution to ln(((x+1)(x+2))/(x+3)) is ln(x+1)+ln(x+2)-ln(x+3)

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simplify ln(((x+1)(x+2))/(x+3))

simplify

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

ln (x + 1) + ln (x + 2) - ln (x + 3)

Solution steps

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

Apply log rule:

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

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

= ln ((x + 1) (x + 2)) - ln (x + 3)

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 + 1) + ln (x + 2) - ln (x + 3)

ln (sec (x) + tan (x)) - ln (sec (x))

ln (\frac{a ^{- 3}}{b ^{1} c ^{1}})

ln (1) - ln (\frac{1}{2})

lo g_{2} (6 m n^{4})

ln (\frac{6 H}{0.8 W + t})

What is ln(((x+1)(x+2))/(x+3)) ?
The solution to ln(((x+1)(x+2))/(x+3)) is ln(x+1)+ln(x+2)-ln(x+3)