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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

ln (\frac{x ^{9} x ^{2} + 5}{( x + 5 ) ^{6}})

ln (\frac{0.01}{( 1 - 0.01 )})

ln (2 x^{4})

ln (\frac{e ^{4}}{t})

\frac{1}{5} \cdot lo g_{2} (5)

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