![image](https://tex.z-dn.net/?f=+log_%7B3%7D%7B4-3x%7D%3E1+%5C%5C%C2%A0+4-3x+%3E+0%3B+4%3E3x%3B+3x%3C4+%7C%3A4+%3B+x%3C%5Cfrac%7B4%7D%7B3%7D+%5C%5C+4-3x%3E3+%5C%5C+1%3E3x+%5C%5C+3x%3C1+%7C%3A3+%5C%5C+x%3C%5Cfrac%7B1%7D%7B3%7D+%5C%5C+x+%5Cin+%28-%5Cinfty%3B%5Cfrac%7B1%7D%7B3%7D%29+)
1 \\ 4-3x > 0; 4>3x; 3x<4 |:4 ; x<\frac{4}{3} \\ 4-3x>3 \\ 1>3x \\ 3x<1 |:3 \\ x<\frac{1}{3} \\ x \in (-\infty;\frac{1}{3}) " alt=" log_{3}{4-3x}>1 \\ 4-3x > 0; 4>3x; 3x<4 |:4 ; x<\frac{4}{3} \\ 4-3x>3 \\ 1>3x \\ 3x<1 |:3 \\ x<\frac{1}{3} \\ x \in (-\infty;\frac{1}{3}) " align="absmiddle" class="latex-formula">