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Find how many digits the base ten number 11^8^5 has when written in base eleven. 

 

I have an answer but I'm not sure if it's right because the question is kind of confusing to me.

 Feb 24, 2021

7+0 Answers

 #1
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11^(8^5) in base 11 ==1.1062AA481 E+33957

 

It has: 33,957 + 1 ==33, 958 digits in base 11

 Feb 24, 2021
 #2
avatar+592 
0

I got 2268a base 11 digits... I'm not sure how you calculated it but I used Melody's answer as a guide and this is what I got? 

 

https://web2.0calc.com/questions/find-how-many-digits-in-the-base-10-number-9-9-9

Logarhythm  Feb 24, 2021
 #6
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i asked this question awhile ago, someone got an answer dont know if its right tho https://web2.0calc.com/questions/find-how-many-digits-the-base-ten-number-11-8-5

Guest Feb 24, 2021
 #3
avatar+118673 
+3

It will have 8^5 zeros plus a 1 at the front

 

that is 32768+1 = 32769 digits

 

Think about it 

(the numbers on the left are in base 10 and the numbers on the right are in the given base)

 

10^4 = 10000 base 10

5^2 = 100 base 5

7^6 = 1000000 base 7

3^2 = 100 base 3

 Feb 24, 2021
edited by Melody  Feb 24, 2021
 #5
avatar+592 
+1

Thank you!

Logarhythm  Feb 24, 2021
 #7
avatar+118673 
+1

You are very welcome.  laugh

Melody  Feb 24, 2021
 #4
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0

Convert: 10^(8^5) from base 10 to base 11

 

Answer: 1E32,768 ==32768 + 1 =32,769 digits in base 11

 Feb 24, 2021

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