What is 3ln((cos(x)+1)/(9-x^2)) ?

The solution to 3ln((cos(x)+1)/(9-x^2)) is 3(ln(cos(x)+1)-ln(9-x^2))

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simplify 3ln((cos(x)+1)/(9-x^2))

simplify

3 ln (\frac{cos ( x ) + 1}{9 - x ^{2}})

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

Solution steps

3 ln (\frac{cos ( x ) + 1}{9 - x ^{2}})

Apply log rule:

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

ln (\frac{cos ( x ) + 1}{9 - x ^{2}}) = ln (cos (x) + 1) - ln (9 - x^{2})

= 3 (ln (cos (x) + 1) - ln (- x^{2} + 9))

ln \frac{n r t}{\frac{\frac{3 p}{n r t}}{p}}

2 ln (a) + 2 ln (b) - ln (a)

88 + 10 \cdot lo g_{10} (\frac{2}{4 \cdot 3.14 \cdot 1 0 ^{2}})

ln (b) + ln (a)

What is 3ln((cos(x)+1)/(9-x^2)) ?
The solution to 3ln((cos(x)+1)/(9-x^2)) is 3(ln(cos(x)+1)-ln(9-x^2))