Powers of 2 Go In, Powers of 2 Come Out
Algebra
Level
3
Let \(f\) be a function with the following properties:
- \(f(1) = 1\)
- \(f(2n) = n \cdot f(n)\) for all positive integers \(n\)
What is the value of \(f(2^{100})\)?
by
Anish Harsha