A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
write as the sum and/or difference of logarithms. Express powers as factors.
anonymous
 5 years ago
write as the sum and/or difference of logarithms. Express powers as factors.

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\log_{6} \left( x4/x^7 \right)\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0first combine the inside into one fraction with x^7 as common denominator x  4/x^7 = (x^8  4)/x^7 Now that we have division we split it into 2 logs using the log rule: logx  logy = log(x/y) *note the base does not change =>log(x^8  4)  log(x^7) Another rule is log(x^n) = n*log(x) so change log(x^7) to 7log(x) => log(x^8 4)  7log(x) Now we can factor x^8 4 into a squared binomial: (x^4+2)(x^42) =>log((x^4+2)*(x^42))  7log(x) Now we have multiplication in our log so we split that into 2 logs logx + logy = logxy =>log(x^4+2) + log(x^42)  7log(x) ok now i hope you get the idea, these could be factored again and split up and so on
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.