What is 1/8 (ln(x+4)-ln(x-4))+c ?

The solution to 1/8 (ln(x+4)-ln(x-4))+c is 1/8 ln((x+4)/(x-4))+c

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simplify 1/8 (ln(x+4)-ln(x-4))+c

simplify

\frac{1}{8} (ln (x + 4) - ln (x - 4)) + c

\frac{1}{8} ln (\frac{x + 4}{x - 4}) + c

Solution steps

\frac{1}{8} (ln (x + 4) - ln (x - 4)) + c

Apply log rule:

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

ln (x + 4) - ln (x - 4) = ln (\frac{x + 4}{x - 4})

= \frac{1}{8} ln (\frac{x + 4}{x - 4}) + c

ln (3) + ln (7) - ln (2) - 2 ln (4)

ln (\frac{4 x ^{4} + 4 x}{x ^{2} + 2 x})

- (\frac{5}{6}) lo g_{2} (\frac{5}{6}) - (\frac{1}{6}) lo g_{2} (\frac{1}{6})

ln (\frac{2}{6})

3 lo g_{10} (x) - \frac{1}{2} lo g_{10} (y)

What is 1/8 (ln(x+4)-ln(x-4))+c ?
The solution to 1/8 (ln(x+4)-ln(x-4))+c is 1/8 ln((x+4)/(x-4))+c