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log(x^2-4)/log(0.5)>=log(x+2)/log(0.5)-1 inequation

A inequation with variable

The solution

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   / 2    \                  
log\x  - 4/    log(x + 2)    
----------- >= ---------- - 1
  log(1/2)      log(1/2)     
$$\frac{\log{\left(x^{2} - 4 \right)}}{\log{\left(\frac{1}{2} \right)}} \geq \frac{\log{\left(x + 2 \right)}}{\log{\left(\frac{1}{2} \right)}} - 1$$
log(x^2 - 4)/log(1/2) >= log(x + 2)/log(1/2) - 1
Solving inequality on a graph