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Find how many digits the base five number 5^(6^9) has when written in base five.

 Feb 27, 2020
 #1
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0

I think it has: 4.444444444444..._5×5^10077695 =10077696 digits.

 Feb 27, 2020
 #2
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I think it has 23 digits = 22120202341134444310412_5

 Feb 27, 2020
 #3
avatar+108688 
+1

5^0 has 1

5^1 has 2

etc 

so

5^(6^9) has 6^9+1  digits when written is base 5

 

by the way, 5^(6^9) is a base 10 number, not a base 5 number. Base 5 can only use the digits 0,1,2,3,4 

 Mar 1, 2020

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