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![log_3^2(4-x) textless 1\\
log_3^2(4-x)-1^2 textless 0\\
(log_3(4-x)+1)*(log_3(4-x)-1) textless 0\\
-1 textless log_3(4-x) textless 1\\
begin{equation*}
begin{cases}
log_3(4-x) textgreater -1\
log_3(4-x) textless 1
end{cases}
end{equation*}\\
begin{equation*}
begin{cases}
log_3(4-x) textgreater log_3(3^{-1})\
log_3(4-x) textless log_3(3)
end{cases}
end{equation*}
begin{equation*}
begin{cases}
4-x textgreater frac{1}{3}\
4-x textless 3\
4-x textgreater 0
end{cases}
end{equation*}](https://tex.z-dn.net/?f=log_3%5E2%284-x%29+textless++1%5C%5C%0Alog_3%5E2%284-x%29-1%5E2+textless++0%5C%5C%0A%28log_3%284-x%29%2B1%29%2A%28log_3%284-x%29-1%29+textless++0%5C%5C%0A-1+textless++log_3%284-x%29+textless++1%5C%5C%0Abegin%7Bequation%2A%7D%0A%09begin%7Bcases%7D%0A%09%09log_3%284-x%29+textgreater++-1%5C%0A%09%09log_3%284-x%29+textless++1%0A%09end%7Bcases%7D%0Aend%7Bequation%2A%7D%5C%5C%0Abegin%7Bequation%2A%7D%0A%09begin%7Bcases%7D%0A%09%09log_3%284-x%29+textgreater++log_3%283%5E%7B-1%7D%29%5C%0A%09%09log_3%284-x%29+textless++log_3%283%29%0A%09end%7Bcases%7D%0Aend%7Bequation%2A%7D%0Abegin%7Bequation%2A%7D%0A%09begin%7Bcases%7D%0A%09%094-x+textgreater++frac%7B1%7D%7B3%7D%5C%0A%09%094-x+textless++3%5C%0A++++++++++++++++4-x+textgreater++0%0A%09end%7Bcases%7D%0Aend%7Bequation%2A%7D%0A "log_3^2(4-x) textless 1\\
log_3^2(4-x)-1^2 textless 0\\
(log_3(4-x)+1)*(log_3(4-x)-1) textless 0\\
-1 textless log_3(4-x) textless 1\\
begin{equation*}
begin{cases}
log_3(4-x) textgreater -1\
log_3(4-x) textless 1
end{cases}
end{equation*}\\
begin{equation*}
begin{cases}
log_3(4-x) textgreater log_3(3^{-1})\
log_3(4-x) textless log_3(3)
end{cases}
end{equation*}
begin{equation*}
begin{cases}
4-x textgreater frac{1}{3}\
4-x textless 3\
4-x textgreater 0
end{cases}
end{equation*}")
![begin{equation*}
begin{cases}
x textless frac{11}{3}\
x textgreater 1\
x textless 4
end{cases}
end{equation*}](https://tex.z-dn.net/?f=begin%7Bequation%2A%7D%0A%09begin%7Bcases%7D%0A%09%09x+textless++frac%7B11%7D%7B3%7D%5C%0A%09%09x+textgreater++1%5C%0A++++++++++++++++x+textless++4%0A%09end%7Bcases%7D%0Aend%7Bequation%2A%7D "begin{equation*}
begin{cases}
x textless frac{11}{3}\
x textgreater 1\
x textless 4
end{cases}
end{equation*}")
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