SOLUTION: i have this problem 2e^(4x-2)=9 i know that i can use the calculator to find (e) but what about x? thank you in advance! :-]

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: i have this problem 2e^(4x-2)=9 i know that i can use the calculator to find (e) but what about x? thank you in advance! :-]      Log On


   

Question 203784:
i have this problem
2e^(4x-2)=9
i know that i can use the calculator to find (e) but what about x?
thank you in advance! :-]
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
You must apply "log rules":
2e^(4x-2)=9
e^(4x-2) = 9/2
Take the natural ln of both sides:
4x - 2 = ln(9/2)
4x = ln(9/2) + 2
x = [ln(9/2) + 2]/4
x = 0.876