What is ln((x^8+1)/(x^2-4)) ?

The solution to ln((x^8+1)/(x^2-4)) is ln(x^8+1)-ln(x^2-4)

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simplify ln((x^8+1)/(x^2-4))

simplify

ln (\frac{x ^{8} + 1}{x ^{2} - 4})

ln (x^{8} + 1) - ln (x^{2} - 4)

Solution steps

ln (\frac{x ^{8} + 1}{x ^{2} - 4})

Apply log rule:

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

ln (\frac{x ^{8} + 1}{x ^{2} - 4}) = ln (x^{8} + 1) - ln (x^{2} - 4)

= ln (x^{8} + 1) - ln (x^{2} - 4)

lo g_{6} (9) + lo g_{6} (2)

lo g_{10} (\frac{x + 4}{x})

ln (\frac{1}{2} y^{4} x^{11} e^{- y x^{3}})

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

\frac{lo g _{10} ( 2 x ) + lo g _{10} ( 4 x ^{2} )}{3}

What is ln((x^8+1)/(x^2-4)) ?
The solution to ln((x^8+1)/(x^2-4)) is ln(x^8+1)-ln(x^2-4)