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

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

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

simplify

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

ln (r^{2} + 1) - ln (r^{2} - 1)

Solution steps

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

Apply log rule:

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

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

= ln (r^{2} + 1) - ln (r^{2} - 1)

ln (3 a^{b})

ln (8) - 3 ln (x) - 4 ln (5) + 2 ln (y)

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

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

2 ln (6) - ln (4)

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