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Find n if 34n = 100112

Find n if 34n = 100112
  • A.
    5
  • B.
    6
  • C.
    7
  • D.
    8
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