1. use the properties of logarithms to expand the logarithmic expression Ln (y (y+2)^5) / (y-1)

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26-11-2016
Mathematics

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1. use the properties of logarithms to expand the logarithmic expression Ln (y (y+2)^5) / (y-1)

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apologiabiology apologiabiology · Answer 1 · 2016-11-26T20:54:29+01:00

apologiabiology apologiabiology

26-11-2016

remember
ln is just log base e

ok so properties
log(a/b)=loga-logb
log(ab)=loga+logb
log(a^x)=xloga

so

ln(y(y+2)^5)/(y-1)=
ln(y(y+2)^5)-ln(y-1)=
lny+ln(y+2)^5-ln(y-1)=
lny+5ln(y+2)-ln(y-1)

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