Question

Question 3: Determine the missing base in the equation problem below. 75eight = 23 base​

Answer 1

29

Explanation:

Given the expression
`75_8 = 23_x` where x is the unknown base:

`75_8 = 23_x\\7*8^1 +5*8^0 = 2* x^1+3 * x^0\\56+5 = 2x+3\\61 = 2x+3\\2x = 61-3\\2x = 58\\x = 58/2\\x = 29`

Hence the missing base is 29