A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Write the following expression as a single logarithm:
2log(x+3)3log(x7)+5log(x2)log(x^2)
anonymous
 one year ago
Write the following expression as a single logarithm: 2log(x+3)3log(x7)+5log(x2)log(x^2)

This Question is Closed

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2quotient rule\[\large\rm log_b x  \log_b y = \log_b \frac{ x }{ y}\] to condense you can change subtraction to division product rule \[\large\rm log_b x + \log_b y = \log_b( x \times y )\] addition > multiplication power rule \[\large\rm log_b x^y = y \log_b x\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i get the first half of it but not the second where it begins +5log

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2there is a negative sign so apply quotient rule after power rule

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0top half if log(x+3)^2(x7)^3 right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0+5log(x2)log(x^2) i need help with this part

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2\[\large \rm 2log(x+3)\color{red}{}3log(x7)\color{red}{+}5log{x}2)\color{red}{}log(x^2)\] first of all power rule \[\large\rm log(x+3)^2\color{ReD}{ }log(x7)^3\color{reD}{+} log(x2)^5\color{ReD}{}log(x^2)\] now apply quotient rule for negative one and product rule for log(x2)^2

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2sorry my internet got disconnected

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2\(\color{blue}{\text{Originally Posted by}}\) @nsquared22 top half if log(x+3)^2(x7)^3 right? \(\color{blue}{\text{End of Quote}}\) (x7)^3 should be at the bottom bec it's log (x+3)^2 MINUS log(x7)^3

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2\[\log \frac{ (x+3)^2 }{ (x7)^3 } + \log (x3)^5 \log (x^2)\] change addition sign to multiplication and subtraction with division

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.2let me know if you need more help :)
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.