Problem:
If aβb=a+baΓbβ for a,b positive integers, then what is 5β10?
Answer Choices:
A. 103β
B. 1
C. 2
D. 310β
E. 50
Solution:
5β10=5+105Γ10β=1550β=5Γ35Γ10β=310β.
Answer: Dβ.
The problems on this page are the property of the MAA's American Mathematics Competitions