What is ln((9-x^2-y^2)(x^2+y^2-1)) ?

The solution to ln((9-x^2-y^2)(x^2+y^2-1)) is ln(9-x^2-y^2)+ln(x^2+y^2-1)

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simplify ln((9-x^2-y^2)(x^2+y^2-1))

simplify

ln ((9 - x^{2} - y^{2}) (x^{2} + y^{2} - 1))

ln (9 - x^{2} - y^{2}) + ln (x^{2} + y^{2} - 1)

Solution steps

ln ((9 - x^{2} - y^{2}) (x^{2} + y^{2} - 1))

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln ((9 - x^{2} - y^{2}) (x^{2} + y^{2} - 1)) = ln (9 - x^{2} - y^{2}) + ln (x^{2} + y^{2} - 1)

= ln (9 - x^{2} - y^{2}) + ln (x^{2} + y^{2} - 1)

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What is ln((9-x^2-y^2)(x^2+y^2-1)) ?
The solution to ln((9-x^2-y^2)(x^2+y^2-1)) is ln(9-x^2-y^2)+ln(x^2+y^2-1)