Question

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

Answer 1

Answer:

29

Step-by-step explanation:

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

$75_8 = 23_x\\7\times8^1 +5\times8^0 = 2\times x^1+3 \times x^0\\56+5 = 2x+3\\61 = 2x+3\\2x = 61-3\\2x = 58\\x = 58/2\\x = 29$

Hence the missing base is 29