SOLUTION: Can you please help me solve this problem: 4e^2x=12. What I've done so far is add natural log to both sides. ln^4e*2x= ln12. After this I am not sure what to do next.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Can you please help me solve this problem: 4e^2x=12. What I've done so far is add natural log to both sides. ln^4e*2x= ln12. After this I am not sure what to do next.      Log On


   



Question 207687: Can you please help me solve this problem: 4e^2x=12. What I've done so far is add natural log to both sides. ln^4e*2x= ln12. After this I am not sure what to do next.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Can you please help me solve this problem: 4e^2x=12. What I've done so far is add natural log to both sides. ln^4e*2x= ln12. After this I am not sure what to do
next.
:
Do this first:
4%2Ae%5E%282x%29 = 12
Divide both sides by 4:
e%5E%282x%29 = 12%2F4
e%5E%282x%29 = 3
then
2x*ln(e) = ln(3)
:
The natural log of e is one so it's just
2x = ln(3)
:
2x = 1.0986
x = 1.0986%2F2
x = .5493
:
:
Check solution on a good calc: enter: 4*e^(2*.5493) should get 11.9998 ~ 12