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Megaforte8600
 11 months ago
ln 2  ln (3x + 2) = 1
Find X
Megaforte8600
 11 months ago
ln 2  ln (3x + 2) = 1 Find X

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

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

Megaforte8600
 11 months ago
Best ResponseYou've already chosen the best response.0i forgot how to

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

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

mathmale
 11 months 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.

Megaforte8600
 11 months ago
Best ResponseYou've already chosen the best response.02/ (3x + 2) = e

mathmale
 11 months 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
 11 months ago
Best ResponseYou've already chosen the best response.0im still confused

myininaya
 11 months 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
 11 months 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
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