Factor x^{2} – x – 20 = (x – 5) (x + 4). Then

ln [(x^{2} – x – 20) / (x + 7)^{3} ]^{1/4} =

1/4 ln [(x – 5) (x + 4) / (x + 7)^{3} ] = use the properties ln(ab) = ln a + ln b, ln(a/b) = ln a – ln b,

and ln a^{n} = n lna

(1/4)ln(x – 5) + (1/4) ln(x + 4) – (3/4) ln(x + 7)

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