Unwrap It Like A Box

Algebra Level 2

If ff is a continuous function and f(xy)=f(x)+f(y)f(xy)=f(x)+f(y) for all x,y∈R−{0}x,y\in \mathbb{R-\{0\}}, find the value of f(8)f(2)\dfrac{f(8)}{f(2)}.

Bonus: Find the general form of f(x)f(x) if f(10)=123456789f(10) = 123456789.

Grant Bulaong by Grant Bulaong
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