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log2(1-x)>log2(2x-8) inequation

A inequation with variable

The solution

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log(1 - x)   log(2*x - 8)
---------- > ------------
  log(2)        log(2)   
$$\frac{\log{\left(1 - x \right)}}{\log{\left(2 \right)}} > \frac{\log{\left(2 x - 8 \right)}}{\log{\left(2 \right)}}$$
log(1 - x)/log(2) > log(2*x - 8)/log(2)
Solving inequality on a graph