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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

ln (\frac{1}{β ^{n}} e^{\frac{- 1}{β ^{n}} (- α n + x)})

ln (\frac{e ^{1 + i} - e ^{- 1 - i}}{2})

3 lo g_{10} (x) + lo g_{10} (7) - 2 lo g_{10} (y)

- \frac{2 ln ( 2 )}{ln ( 3 )}

ln (x + 5) - ln (x)

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