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

Question

Mathematics

Bush

13 July, 16:00

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

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Genesis Freeman · Answer 1

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)