SOLUTION: x^log(x)= 10000/x What is the product of the solutions? I have simplified the problem to (log (x))^2 + log (x) = 4, but can not find the solution.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: x^log(x)= 10000/x What is the product of the solutions? I have simplified the problem to (log (x))^2 + log (x) = 4, but can not find the solution.      Log On


   

Question 341179: x^log(x)= 10000/x
What is the product of the solutions?
I have simplified the problem to
(log (x))^2 + log (x) = 4, but can not find the solution.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use a substitution.
Let u=log%28%28x%29%29
u%5E2=log%28%28x%29%29%5E2
.
.
.
u%5E2%2Bu=4
u%5E2%2Bu-4=0
Solve for u.
Then substitute back to x.