How many ordered triples of integers (a, b, c), with a \geq 2, b \geq 1, and c \geq 0, satisfy both \log _{a} b=c^{2005} and a+b+c=2005 ?
Answer Choices
A. 0
B. 1
C. 2
D. 3
E. 4
How many ordered triples of integers (a, b, c), with a \geq 2, b \geq 1, and c \geq 0, satisfy both \log _{a} b=c^{2005} and a+b+c=2005 ?
Answer Choices
A. 0
B. 1
C. 2
D. 3
E. 4