laurenbaker681 laurenbaker681

23-10-2016
Mathematics

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evaluate the expression 3log3(6) and simplify it completely

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apologiabiology apologiabiology

23-10-2016

gg easy

some properties
alogₓb=logₓbᵃ
logₐaˣ=x
logₐa=1
log(ab)=loga+logb
logₐx=y means a^y=x

3log₃6=log₃216=log₃(2³ times 3³)=log₃(2³)+log₃(3³)=log₃(8)+3

answer is log₃(8)+3 or 3(log₃(3)+1)

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