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  • 22-10-2020
  • Mathematics
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Question 3: Determine the missing base in the equation problem below. 75eight = 23 base​

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abidemiokin
abidemiokin abidemiokin
  • 22-10-2020

Answer:

29

Step-by-step explanation:

Given the expression [tex]75_8 = 23_x[/tex] where x is the unknown base:

[tex]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[/tex]

Hence the missing base is 29

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