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

A inequation with variable

The solution

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