Question

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

Answer 1

(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)

Answer 2

PSST EVERYONE HTTP://WWW.MATHWAY.COM

Answer 3

CHEATER

Answer 4

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

Answer 5

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

Answer 6

Positive

Answer 7

it does not matter. addition is associative

Answer 8

Was I correct? @zzr0ck3r

Answer 9

PSST hi @Broskishelleh

Answer 10

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

Answer 11

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?

Answer 12

yes

Answer 13

@zzr0ck3r May you confirm this?

Answer 14

may who preform what lol

Answer 15

thats what I got

but you sohuld work it out to make sure

Answer 16

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

Answer 17

no

Answer 18

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

Answer 19

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

Answer 20

Thank you so much @zzr0ck3r Incredible help

Answer 21

fo she z