Question 156
Determine if there exist a function $f : (0; 1) \rightarrow (2018; +\infty)$, so that the following conditions hold:
* $f(x \cdot y) = f(x) \cdot f(y)$ for any $x, y \in (0; 1)$;
* for any $y \in (2018; +\infty)$ there exists $x \in (0; 1)$ such that $f(x) = y$?
* $f(x \cdot y) = f(x) \cdot f(y)$ for any $x, y \in (0; 1)$;
* for any $y \in (2018; +\infty)$ there exists $x \in (0; 1)$ such that $f(x) = y$?