SOLUTION: Hello and thank you for your help beforehand! I've been stuck on this question for a little while now. I am asked to solve for x and the problem is 3 to the x+2=e to the 2x-1. Hope

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Hello and thank you for your help beforehand! I've been stuck on this question for a little while now. I am asked to solve for x and the problem is 3 to the x+2=e to the 2x-1. Hope      Log On


   

Question 870526: Hello and thank you for your help beforehand! I've been stuck on this question for a little while now. I am asked to solve for x and the problem is 3 to the x+2=e to the 2x-1. Hope that makes sense and thank you again!!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
the problem is 3 to the x+2=e to the 2x-1.
Assume it is
3%5E%28%28x%2B2%29%29+=+e%5E%28%282x-1%29%29
find the nat log of both sides
ln%283%5E%28%28x%2B2%29%29%29+=+ln%28e%5E%28%282x-1%29%29%29
the log equiv of exponents
(x+2)ln(3) = (2x-1)ln(e)
find ln using a calc. the ln of e is 1
1.0986(x+2) = 2x - 1
1.0986x + 2.1972 = 2x - 1
2.1972 + 1 = 2x - 1.0986x
3.1972 = .9014x
x = 3.1972%2F.9014
x = 3.547
:
:
Check this on your calc, replace x
3^5.547 = 443.2
e^6.094 = 443,2