SOLUTION: 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.

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): You can put this solution on YOUR website!
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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).

~~~~~~~~~~~~~~~

Solved.

Joking math problem with a huge underwater stone.

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