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5*log(x^2+x-12)/log6<=12+log((x-3)^5/(x+4))/log6 inequation

A inequation with variable

The solution

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                              /       5\
                              |(x - 3) |
     / 2         \         log|--------|
5*log\x  + x - 12/            \ x + 4  /
------------------ <= 12 + -------------
      log(6)                   log(6)   
$$\frac{5 \log{\left(\left(x^{2} + x\right) - 12 \right)}}{\log{\left(6 \right)}} \leq \frac{\log{\left(\frac{\left(x - 3\right)^{5}}{x + 4} \right)}}{\log{\left(6 \right)}} + 12$$
(5*log(x^2 + x - 12))/log(6) <= log((x - 3)^5/(x + 4))/log(6) + 12
Solving inequality on a graph