SOLUTION: If f(x) = ln(x) than solve (f∘f∘f)(x) = 0 for x

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: If f(x) = ln(x) than solve (f∘f∘f)(x) = 0 for x      Log On


   



Question 1154018: If f(x) = ln(x) than solve (f∘f∘f)(x) = 0 for x
Answer by greenestamps(13215) About Me  (Show Source):
You can put this solution on YOUR website!


ln%28ln%28ln%28x%29%29%29+=+0

Raise e to each power:

e%5E%28ln%28ln%28ln%28x%29%29%29%29+=+e%5E0
ln%28ln%28x%29%29+=+1

Raise e to each power again:

e%5E%28ln%28ln%28x%29%29%29+=+e%5E1
ln%28x%29+=+e

And one more time:

e%5E%28ln%28x%29%29+=+e%5Ee
x+=+e%5Ee