SOLUTION: could you please help me to solve the equation. (e^x)^x*e^48=e^14^x

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Question 622738: could you please help me to solve the equation.
(e^x)^x*e^48=e^14^x
Answer by ewatrrr(10682) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

%28e%5Ex%29%5Ex%2Ae%5E48=+%28e%5E14%29%5Ex

e%5E%28x%5E2%2B48%29=+e%5E%2814x%29

 x^2 + 48 = 14x

 x^2 - 14x + 48 = 0

factoring

(x-8)(x-6) = 0

  x = 8  or x = 6