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log/log2(3x+1)*log0,5(6x+2)<-6 inequation

A inequation with variable

The solution

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    log(x)                              
--------------*log(0.0)*5*(6*x + 2) < -6
/log(3*x + 1)\                          
|------------|                          
\   log(2)   /                          
$$5 \frac{\log{\left(x \right)}}{\frac{1}{\log{\left(2 \right)}} \log{\left(3 x + 1 \right)}} \log{\left(0.0 \right)} \left(6 x + 2\right) < -6$$
(5*((log(x)/((log(3*x + 1)/log(2))))*log(0.0)))*(6*x + 2) < -6