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} \cdot 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))

ln (\frac{10}{10000000})

lo g_{3} (2) + lo g_{3} (5) - lo g_{3} (4)

∣ 5 x + 2 ∣ - ∣ x^{2} + 2 ∣ + ln (4 x)

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

1.03 ln (2.538 x)

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))