expand the following expression

Calculus
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Oct 3rd, 2015

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 ln(e²x^5 / (x+2)^(1/3)) =   ln(e²x^5)  -  ln((x+2)^(1/3))            because  ln(a/b) = ln(a) - ln(b)

                                     =  ln(e²) + ln(x^5) - (1/3)ln(x + 2)        because  ln(a*b) = ln(a) + ln(b)  

                                      =  2 + 5ln(x) - (1/3)ln(x + 2)               because  ln(a^b)  =  bln(a)   and  ln(e^x) = x


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Sep 15th, 2015

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