SOLUTION: e^x x e^3x=4 Can you help me figure this out? My math teacher didn't explain it fully. Thanks for your help!

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: e^x x e^3x=4 Can you help me figure this out? My math teacher didn't explain it fully. Thanks for your help!      Log On


   

Question 604917: e^x x e^3x=4
Can you help me figure this out? My math teacher didn't explain it fully.
Thanks for your help!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
e%5Ex+%2A+e%5E%283x%29=4+

e%5E%28x%2B3x%29=4+

e%5E%284x%29=4+

4x=ln%284%29+

x=ln%284%29%2F4+


So the exact solution is x=ln%284%29%2F4+