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A palindrome is a number that reads the same forward and backward. The largest possible 4-digit palindrome in base 3 can be expressed as a 3-digit palindrome in another base b > 2. What is b?

 

im not trying to cheat my homework. You dont have to give me the answer but id appreciate it if you gave the answer along with the explaination so i can put it into the system and learn their answer too.

 Apr 30, 2021
 #1
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It works out that b = 5.

 Apr 30, 2021
 #2
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The largest 4 digit palindrome in base 3 is 2222. (only numbers from 0 - 2)

2222 from base 3 to base 3 = 2222 

2222 from base 3 to base 4 = 1100

2222 from base e to base 5 = 310

2222 from base 3 to base 6 = 212   # This works

Our answer is 6. :)))

 

=^._.^=

 Apr 30, 2021

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