For some positive integer k, the repeating bas-k representation of the (base-ten) fraction \dfrac{7}{51} is 0.\overline{23}_k =0.23232323\cdots_k. What is k?
Answer Choices
A. 13
B. 14
C. 15
D. 16
E. 17
For some positive integer k, the repeating bas-k representation of the (base-ten) fraction \dfrac{7}{51} is 0.\overline{23}_k =0.23232323\cdots_k. What is k?
Answer Choices
A. 13
B. 14
C. 15
D. 16
E. 17