What is simplify-ln|x+2|+ln|x|+C ?

The solution to simplify-ln|x+2|+ln|x|+C is ln((|x|)/(|x+2|))+C

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simplify-ln|x+2|+ln|x|+C

simplify

- ln ∣ x + 2 ∣ + ln ∣ x ∣ + C

ln (\frac{∣ x ∣}{∣ x + 2 ∣}) + C

Solution steps

- ln ∣ x + 2 ∣ + ln ∣ x ∣ + C

Apply log rule:

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

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

= ln (\frac{∣ x ∣}{∣ x + 2 ∣}) + C

20 ln (\frac{21}{7})

\frac{1}{5} ln ((x^{2} - 25)^{5}) + ln (e) - ln (1) - ln (x + 5)

ln (R) - ln (\frac{1}{k})

4.7447 + lo g_{10} (\frac{0.5}{0.75})

ln (\frac{10}{12.5}) + ln (\frac{8}{10})

What is simplify-ln|x+2|+ln|x|+C ?
The solution to simplify-ln|x+2|+ln|x|+C is ln((|x|)/(|x+2|))+C