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Find n if 34n = 100112

Mathematics
JAMB 1992

Find n if 34n = 100112
  • A. 5
  • B. 6
  • C. 7
  • D. 8
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Correct Answer: Option A
Explanation
To find n if 34n = 100112, convert both sides to base 10

= 3n + 4 = (1 x 24) + (0 x23) + (0 x 22) + (1 x 21) + 1 x 2o

= 3n + 4 = 16 + 0 + 0 + 2 + 1

3n + 4 = 19

3n = 15

n = 5

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