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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

lo g_{10} (2 x) + 3 lo g_{10} (2 y)

lo g_{10} (p) - \frac{1}{3} lo g_{10} (q)

ln (5) + \frac{1}{2} ln (9)

lo g_{6} (\frac{x ^{3}}{y ^{8}})

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