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解下列不等式:
\( {\mathrm{log}}_{\frac{1}{7}}x>{\mathrm{log}}_{\frac{1}{7}}\left(4-x\right)\)
参考答案:由题意可得:\( \left\{\begin{array}{c}x>0\\ 4-x>0\\ x<4-x\end{array}\right.\Rightarrow 0<x<2\) 故原不等式的解集为 \( \left\{x\right|0<x<2\}\)
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