The function \(f\) is defined for all positive, three-digit integers as \(f(x)=2^a\cdot 3^b\cdot 5^c\) where \(a, b,\)

[Vincen]

The function \(f\) is defined for all positive, three-digit integers as \(f(x)=2^a\cdot 3^b\cdot 5^c\) where \(a, b,\) and \(c\) are the hundreds, tens, and units digits, respectively, of \(x.\) What is \(m−n?\)

(1) \(f(m)=8f(n)\)

(2) \(n=111\)

[spoiler]OA=A[/spoiler]

Source: Veritas Prep