Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing

This Question is Closed

mathmale Group TitleBest ResponseYou've already chosen the best response.1
An important rule of logarithms is this : ln a  ln b = ln (a/b). Given that, what is ln 2  ln (3x+2)?
 5 months ago

Megaforte8600 Group TitleBest ResponseYou've already chosen the best response.0
ln 2/ (3x + 2)
 5 months ago

mathmale Group TitleBest ResponseYou've already chosen the best response.1
good. Now, \[\ln \frac{ 2 }{ 3x+2 }=1.\] how would you now get rid of the ln operator? We want to solve this equation for x.
 5 months ago

Megaforte8600 Group TitleBest ResponseYou've already chosen the best response.0
e^ln ( 2/ 3x + 2 ) = e^1
 5 months ago

mathmale Group TitleBest ResponseYou've already chosen the best response.1
Hey, that's really cool. Can you now simplify this equation?
 5 months ago

Megaforte8600 Group TitleBest ResponseYou've already chosen the best response.0
i forgot how to
 5 months ago

mathmale Group TitleBest ResponseYou've already chosen the best response.1
Use the fact that e^(ln a) = a. If this is true (which it is), then what is \[e ^{\ln \frac{ 2 }{ 3x+2 }}?\]
 5 months ago

mathmale Group TitleBest ResponseYou've already chosen the best response.1
The right side is simply e^1, or e.
 5 months ago

Megaforte8600 Group TitleBest ResponseYou've already chosen the best response.0
ok, so its now (2/3x + 2) = 1
 5 months ago

mathmale Group TitleBest ResponseYou've already chosen the best response.1
Other than that your 3x+1 should be within parentheses, yes! Mind rewriting that? Don't need parenthesis in front of the first 2.
 5 months ago

Megaforte8600 Group TitleBest ResponseYou've already chosen the best response.0
2/ (3x + 2) = e
 5 months ago

mathmale Group TitleBest ResponseYou've already chosen the best response.1
Yes, or \[\frac{ 3x+2 }{ 2 }=\frac{ 1 }{ e }\] One way of solving this would be to crossmultiply. We have to isolate x on the left side of the equation. I need to log off now, but think you're well on the way to solving this problem properly. See you again soon, I hope.
 5 months ago

Megaforte8600 Group TitleBest ResponseYou've already chosen the best response.0
im still confused
 5 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
are you confused on the cross multiplication part? he means if you have \[\frac{a}{b}=\frac{c}{d} \text{ you can do } ad=cb\]
 5 months ago

myininaya Group TitleBest ResponseYou've already chosen the best response.1
and remember we are solving for x remember treat e like you would treat 2 or 3 or any other constant number
 5 months ago

Megaforte8600 Group TitleBest ResponseYou've already chosen the best response.0
ok ^_^ thanks
 5 months ago
See more questions >>>
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.