What is ln(x)-ln((x^2+3x+2)^2) ?

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

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simplify ln(x)-ln((x^2+3x+2)^2)

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

ln (x + 1) + ln (sin (y))

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

- lo g_{10} (4.8 \cdot 1 0^{- 3})

ln (x^{3} y^{2})

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

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