Question 1197491: If ln{ln[ln(lnx)]}=0, where the base of each natural log is e, then x=e^k. Find the positive real value of k. Answer by ikleyn(52814) (Show Source):
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If ln{ln[ln(lnx)]}=0, where the base of each natural log is e, then x=e^k. Find the positive real value of k.
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If ln{ln[ln(lnx)]} = 0, then
ln[ln(lnx)] = 1, then
ln(ln(x)) = e, then
ln(x) = , then
x = .
The problem asks to find such real value "k" that
x = = .
So, this value of "k" is k = = = 15.15421 (approximately).
ANSWER. k = = = 15.15421 (approximately).
