SOLUTION: Find how many digits the base ten number {{{7 ^ (7 ^ 7)}}} (That's 7 ^ (7 ^ 7) ) has when written in base seven.

Question 1200558: Find how many digits the base ten number (That's 7 ^ (7 ^ 7) ) has when written in base seven.
Answer by ikleyn(52863) (Show Source): You can put this solution on YOUR website!
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Notice that  7^(7^7) = .


It means that in base 7 the number  7^(7^7)   has the leading digit 1 followed by  7^7 = 823543  zeroes.


In all, in base 7 the number  7^(7^7)  has  1 + 823543 = 823544 digits.  ANSWER

Solved.

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