What is simplify-2ln(1-x)+ln(x+2) ?

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

2 ln (- x + 1) = ln ((- x + 1)^{2})

= - ln ((- x + 1)^{2}) + ln (x + 2)

Apply log rule:

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

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

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

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

13 ln (\frac{208}{3}) + 7 ln (80 - 0.75 \cdot \frac{208}{3})

ln (\frac{41}{10}) - \frac{1}{4}

\frac{1}{4} ln (x + 2) - \frac{1}{4} ln (x - 2)

ln (\frac{273.15}{262.05})

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