What is ln(((x-y))/((x^2-y^2))) ?

The solution to ln(((x-y))/((x^2-y^2))) is ln(x-y)-ln(x^2-y^2)

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simplify ln(((x-y))/((x^2-y^2)))

simplify

ln (\frac{( x - y )}{( x ^{2} - y ^{2} )})

ln (x - y) - ln (x^{2} - y^{2})

Solution steps

ln (\frac{( x - y )}{( x ^{2} - y ^{2} )})

Apply log rule:

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

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

= ln (x - y) - ln (x^{2} - y^{2})

\frac{ln ^{2} ( 10 ) - ln ^{2} ( 2 ) - ln ^{2} ( 5 )}{2}

ln (x^{\frac{1}{3}} y^{\frac{1}{2}})

ln (z^{4} e^{2 z})

2 ln (x + 8) - 9 ln (x)

What is ln(((x-y))/((x^2-y^2))) ?
The solution to ln(((x-y))/((x^2-y^2))) is ln(x-y)-ln(x^2-y^2)