![image](https://tex.z-dn.net/?f=%5C%5Clog_%7B%5Cfrac13%7D%283x-4%29%3Elog_%7B%5Cfrac13%7D%5Cfrac13%2C+%5C+3x-4%3E0.+%5C+x%3E%5Cfrac43%0A%5C%5C%0A%5C%5C3x-4%3C%5Cfrac13%0A%5C%5C%0A%5C%5C3x%3C4%5Cfrac13%2F%3A3%0A%5C%5C%0A%5C%5Cx%3C%5Cfrac%7B13%7D%7B9%7D%0A%5C%5C%0A%5C%5Cx%3C1%5Cfrac49%0A%5C%5C%0A%5C%5Cx%5Cin%281%5Cfrac13%2C1%5Cfrac49%29)
log_{\frac13}\frac13, \ 3x-4>0. \ x>\frac43
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\\3x-4<\frac13
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\\3x<4\frac13/:3
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\\x<\frac{13}{9}
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\\x<1\frac49
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\\x\in(1\frac13,1\frac49)" alt="\\log_{\frac13}(3x-4)>log_{\frac13}\frac13, \ 3x-4>0. \ x>\frac43
\\
\\3x-4<\frac13
\\
\\3x<4\frac13/:3
\\
\\x<\frac{13}{9}
\\
\\x<1\frac49
\\
\\x\in(1\frac13,1\frac49)" align="absmiddle" class="latex-formula">