SOLUTION: What is ln(ln X)=2

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Question 4318: What is ln(ln X)=2
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
The inverse of ln+x+ is e%5Ex, and vice-versa. Because of this inverse definition, e%5E%28ln+x%29+=+x and also ln+e%5Ex+=+x+.

Therefore, in order to "undo" the first "ln", you must raise both sides of the equation as a power of e. In other words, write
ln%28ln+x%29+=+2
e%5Eln%28ln+x%29+=+e%5E2

So this simplifies to
ln+x+=+e%5E2

Now, raise both sides as a power of e again:
ln+x+=+e%5E2
e%5Eln+x+=+e%5E%28e%5E2%29

Final answer is +x+=+e%5E%28e%5E2%29

R^2 from SCC