Respuesta :

The domain of the logarithm is composed by all points that make its argument strictly positive.

So, we want

[tex] \dfrac{-x+3}{2}>0 [/tex]

Multiply both sides by 2:

[tex] -x+3>0 [/tex]

Add x to both sides:

[tex] 3>x \iff x<3 [/tex]

Answer:

the answer is x is less than 3

Step-by-step explanation: