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

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

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simplify ln(((x^{(2)}+1))/((x^{(2))-1)})

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

ln (\frac{0.892}{0.955})

lo g_{4} (2 x y)

ln (\frac{2}{5})

lo g_{10} (\frac{x}{y ^{9}})

\frac{1}{2 ln ( 2 )} + \frac{1}{3 ln ( 3 )}

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