Question

Use rules of logarithms to expand.
log (x+3)^2/(x-2)(x^2+5)^4

Answer 1

\[Log(~~(x+3)^2/(x-2)(x^2+5)^4~~)\]

Answer 2

Do you know the rules? Any ideas?

Answer 3

No. I'm still trying to learn this stuff. It's a little hard for me to understand.

Answer 4

\[is~~(x^2+5)^4~~part ~~of~~the~~denominator?\]

Answer 5

I think yes, so use\[\log(a/b)=\log(a)-\log(b)\]

Answer 6

It is a part of the denominator.

Answer 7

\[2\log(x+3)-\log(x-2)+4\log(x^2+5)\]

Answer 8

there

Answer 9

thank you

Answer 10

Anytime!

Answer 11

actually. \[2\log(x+3)-log(x-2)\color{red}{-}4\log(x^2+5)\]

Answer 12

my bad, for the mistake, this one is right I think.

Answer 13

ok