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log3(5x-1)>log3(2-3x) inequation

A inequation with variable

The solution

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log(5*x - 1)   log(2 - 3*x)
------------ > ------------
   log(3)         log(3)   
$$\frac{\log{\left(5 x - 1 \right)}}{\log{\left(3 \right)}} > \frac{\log{\left(2 - 3 x \right)}}{\log{\left(3 \right)}}$$
log(5*x - 1)/log(3) > log(2 - 3*x)/log(3)
Solving inequality on a graph