Find n if 34n = 100112

A.

5

B.

6

C.

7

D.

8

View answer & explanation

Correct answer is A

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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