Consider (146)_b + (313)_(b−2) = (246)_8. What is b?
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Correct answer: B. 7
Explanation
(246)₈ = 166. b² + 4b + 6 + 3(b − 2)² + (b − 2) + 3 = 4b² − 7b + 19 = 166, giving b = 7.
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