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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

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

Apply log rule:

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

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

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

ln^{3} (x) - ln^{37} (- ln^{3} (y))

ln (b e^{m t})

ln (\frac{K ^{\frac{3}{4}} L}{K + 1})

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

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