Marinada '21

[lang=hr] Neka \(\left \lfloor x \right \rfloor \) označava najveći cijeli broj koji nije veći od \(x\). Odredi duljinu prirodne domene funkcije \[f(x)=\dfrac{\ln \left \lfloor x \right \rfloor }{\ln \left \lfloor 3-x \right \rfloor }.\] [/lang] [lang=en] Let \(\left \lfloor x \right \rfloor \) represent the largest integer that is not greater than \(x\). Determine the length of the natural domain of the function \[f(x)=\dfrac{\ln \left \lfloor x \right \rfloor }{\ln \left \lfloor 3-x \right \rfloor }.\] [/lang]