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Please help! properties of logarithms

Please help! properties of logarithms-example-1

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Recall a couple properties of logarithms.

log(ab) = log(a) + log(b)

log(a/b) = log(a) - log(b)

So,
log_(12)(((1)/(2))/(8w))=log_(12)((1)/(2))-log_(12)(8w)=log_(12)((1)/(2))-(log_(12)(8)+log_(12)(w))

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