SOLUTION: Solve for x: e^x = 5 e^e^x = 2 (e to the e to the x)

Question 144824: Solve for x:
e^x = 5
e^e^x = 2
(e to the e to the x)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Take the natural of both sides

Rewrite the left side using the identity

Take the natural log of e to get 1

So our answer is which is approximately
-----------------------------

Start with the given equation

Take the natural log of both sides

Rewrite the left side using the identity

Take the natural log of e to get 1

Take the natural log of both sides again

Rewrite the left side using the identity

Take the natural log of e to get 1

So our answer is which is approximately
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