A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Solve for x. log(x) + log(x  3) = 1 Please explain how you got the answer.
anonymous
 one year ago
Solve for x. log(x) + log(x  3) = 1 Please explain how you got the answer.

This Question is Closed

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3familiar with log rules ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No I forgot them. That's why I need help with this. Can you help me?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3quotient rule\[\large\rm log_b y  \log_b x = \log_b \frac{ x }{ y}\] 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 \[\large\rm log_b x^y = y \log_b x\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3so there is a plus sign which rule you should apply ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0addition > multiplication

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0How do you know which number is b?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3yep so change addition to multiplication log is same so you can apply it

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3so log is same as log base 10 \[\huge\rm log = \log_{10}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So is it log(x*(x3))?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So what do you do with the 1?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3now you have \[\huge\rm log (x^2 3x) =1\] next step convert log to exponential form

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0How do you do that again?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3and here is the example dw:1438129295617:dw

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3remember log = log base 10

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[10^{1} = x ^{2}3x\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Is that what I needed to do?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So then \[x ^{2}3x10\] is the next step.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Then I have to factor right?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3gtg :( sorry i'm sure u know how to factor quadratic equation

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes but I just want to verify real quick.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What? Did I mess up?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3nope you are right x+2 and x5 2 times 5 = 10 5+2 = 3 PERFECT! SO x=2 , x=5

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.3my pleasure really glad 2 help :=) smart!
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.