How do we calculate 3 base 5 and 4 base 7?

Answer 1

3 and 4, respectively

=D

Answer 2

There is nothing to calculate. 3 is one of the digits in the base 5 number system, and 4 is a digit in the base 7 number system.

You will need to calculate only when the number you want to represent is equal to or larger than the base. For instance, 0, 1, 2, 3, and 4 are the digits of the base 5 system. If you want to represent 17 in base 5, then it would be 32, because 17 = 3 x 5^1 + 2 x 5^0. This is based on place values in the base 5 system, 3 is in the 5^1's place, and 2 is in the 5^0's place - just like in the base 10 system that we normally use, 17 has 1 in the 10's or 10^1's place and 7 in the 1's or 10^0's place.

Answer 3

Do you mean writing the numbers 3 and 7 in base 5 and 7 respectively? In each case the base numbers are higher than the number expressed, so those numbers appear the same, i.e. 3 and 5. Only when the number exceeds the base does it appear different. For example, 7 in base 7 is 10, 8 is 11. I think it is more likely that you mean the logs of those numbers to the bases given.