Simplify 1/3(log5 x – log5 3 + 2log5 y).

Question

dumbsearch2 · Answer

attachment

broskishelleh · Answer

(1/3)(log5[x/3]+log5(y^2))
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= (1/3)(log5[xy^2/3]

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= log5[xy^2/3]^(1/3)

rowanmartinfan · Answer

PSST EVERYONE HTTP://WWW.MATHWAY.COM

broskishelleh · Answer

CHEATER

zzr0ck3r · Answer

$\log(a)-\log(b)=\log(\frac{a}{b})\\log(a)+\log(b)=\log(ab)$

dumbsearch2 · Answer

Do I start with the positive side or negative side to simplify?

broskishelleh · Answer

Positive

zzr0ck3r · Answer

it does not matter. addition is associative

broskishelleh · Answer

Was I correct? @zzr0ck3r

rowanmartinfan · Answer

PSST hi @Broskishelleh

zzr0ck3r · Answer

log5[(xy^2/3)^(1/3)]

dumbsearch2 · Answer

I didn't get your first answer when I started with the right side (positive side) but when I started from the left from right it came out properly.

So does that mean that it always has to be from left --> right?

So is it A?

broskishelleh · Answer

yes

dumbsearch2 · Answer

@zzr0ck3r May you confirm this?

rowanmartinfan · Answer

may who preform what lol

zzr0ck3r · Answer

thats what I got

but you sohuld work it out to make sure

dumbsearch2 · Answer

does always have to be from left --> right?

zzr0ck3r · Answer

no

zzr0ck3r · Answer

(a+b)+c = c+(b+a) ...

zzr0ck3r · Answer

log(a)-log(b)+log(c)

going from the left

(log(a)-log(b))+log(c)=log(a/b)+log(c)=log((a/b) * c)

going from the right

loga+(-log(b)+log(c)=log(a)+(log(c)-log(b))=log(a)+log(c/b) = log(a*b/c)=log((a/b)*c)

same thing

dumbsearch2 · Answer

Thank you so much @zzr0ck3r Incredible help

zzr0ck3r · Answer

fo she z