What is the average of all positive integers that have four digits when written in base 3, but two digits when written in base 4? Write your answer in base 10.

Guest Nov 19, 2022

#1**+1 **

What is the average of all positive integers that have four digits when written in base 3, but two digits when written in base 4? Write your answer in base 10.

Base 3 3^3 base10 =1000base3 = 27 base 10 smallest

3^4-1 base10 = 2222base3 = 80 base10 biggest

Base 4 4^1 = 10 base 4 = 4 base10 smallest

4^2-1=33 base4 = 15 base 10 biggest

There is no overlap so there is no answer. 0/0 is undefined

Melody Nov 19, 2022