A certain integer has 4 digits when written in base 8. The same integer has d digits when written in base 3. What is the sum of all possible values of d?
+118690
A certain integer has 4 digits when written in base 8. Let the mumber be y
8^3=512 8^4=4096
In base 10 512 <= y < 4096
The same integer has d digits when written in base 3. What is the sum of all possible values of d?
3^5 = 243 4 digits
3^6 = 729 5 digits
3^7 = 2187 6 digits
3^8 = 6561 too big
so it could have 4, 5 or 6 digits in base 3
