SOLUTION: Hello I am struggling with this question in my college course work any help would be appreciated... (e^x)^4 e^5 ___________ = 3 e^2x

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Hello I am struggling with this question in my college course work any help would be appreciated... (e^x)^4 e^5 ___________ = 3 e^2x      Log On


   

Question 64308: Hello I am struggling with this question in my college course work any help would be appreciated...
(e^x)^4 e^5
____________= 3
e^2x
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28e%5Ex%29%5E4%2Ae%5E5%29%2F%28e%5E%282x%29%29=3
e%5E%284x%29%2Ae%5E5%2Fe%5E%282x%29=3
e%5E%284x%2B5-2x%29=3
e%5E%282x%2B5%29=3
ln%28e%5E%282x%2B5%29%29=ln%283%29
%282x%2B5%29ln%28e%29=ln%283%29
%282x%2B5%29%281%29=ln%283%29
2x%2B5=ln%283%29
2x%2B5-5=ln%283%29-5
2x=ln%283%29-5
2x%2F2=%28ln%283%29-5%29%2F2
x=%28ln%283%29-5%29%2F2 Put this in your calculator.
x~-1.950693856 Round off to whatever your asked for.
Happy Calculating!!!