What is 1/6 ln((x-3)/(x+3)) ?

The solution to 1/6 ln((x-3)/(x+3)) is 1/6 (ln(x-3)-ln(x+3))

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simplify 1/6 ln((x-3)/(x+3))

simplify

\frac{1}{6} ln (\frac{x - 3}{x + 3})

\frac{1}{6} (ln (x - 3) - ln (x + 3))

Solution steps

\frac{1}{6} ln (\frac{x - 3}{x + 3})

Apply log rule:

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

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

= \frac{1}{6} (ln (x - 3) - ln (x + 3))

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

lo g_{3} (2 (ab)^{3} c)

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

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

ln (\frac{51}{256})

What is 1/6 ln((x-3)/(x+3)) ?
The solution to 1/6 ln((x-3)/(x+3)) is 1/6 (ln(x-3)-ln(x+3))