A community for students.
Here's the question you clicked on:
 0 viewing
Megaforte8600
 one year ago
ln 2  ln (3x + 2) = 1
Find X
Megaforte8600
 one year ago
ln 2  ln (3x + 2) = 1 Find X

This Question is Closed

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

mathmale
 one year ago
Best ResponseYou've already chosen the best response.1good. 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.

Megaforte8600
 one year ago
Best ResponseYou've already chosen the best response.0e^ln ( 2/ 3x + 2 ) = e^1

mathmale
 one year ago
Best ResponseYou've already chosen the best response.1Hey, that's really cool. Can you now simplify this equation?

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

mathmale
 one year ago
Best ResponseYou've already chosen the best response.1The right side is simply e^1, or e.

Megaforte8600
 one year ago
Best ResponseYou've already chosen the best response.0ok, so its now (2/3x + 2) = 1

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

mathmale
 one year ago
Best ResponseYou've already chosen the best response.1Yes, 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.

Megaforte8600
 one year ago
Best ResponseYou've already chosen the best response.0im still confused

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

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