SOLUTION: I'm supposed to find all solutions of x^1/logx=5. I'm pretty sure there are no real solutions but don't know how to show that this is true. Can anyone tell me how to work this?

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Question 241712: I'm supposed to find all solutions of x^1/logx=5.
I'm pretty sure there are no real solutions but don't know how to show that this is true. Can anyone tell me how to work this?

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
x^1/logx=5.


log(5) = 1
for any x>0

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