SOLUTION: How do you solve this equation exactly for x? (ln(ln(ln(x+6)))=0

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Question 853000: How do you solve this equation exactly for x?
(ln(ln(ln(x+6)))=0
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
Use the following fact if x=y then e%5Ex+=+e%5Ey. Also use the fact that e%5Elnx=x. Also use e%5E0+=+1


Raise e to the power of each side of the equation.


e%5E%28lnlnln%28x%2B6%29%29+=+e%5E0


ln(ln(x+6) = 1


e%5Elnln%28x%2B6%29+=+e%5E1


ln(x+6) = e


e%5Eln%28x%2B6%29+=+e%5Ee


x%2B6+=+e%5Ee


x=e%5Ee+-+6+ = approximately 9.154