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log(-logx/log3)^2/log(0,5)^2-log((logx)^2/(log3)^2)/log(0,5)<=3 desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
                    /   2   \     
                    |log (x)|     
   2/-log(x) \   log|-------|     
log |--------|      |   2   |     
    \ log(3) /      \log (3)/     
-------------- - ------------ <= 3
     2             log(1/2)       
  log (1/2)                       
$$- \frac{\log{\left(\frac{\log{\left(x \right)}^{2}}{\log{\left(3 \right)}^{2}} \right)}}{\log{\left(\frac{1}{2} \right)}} + \frac{\log{\left(\frac{\left(-1\right) \log{\left(x \right)}}{\log{\left(3 \right)}} \right)}^{2}}{\log{\left(\frac{1}{2} \right)}^{2}} \leq 3$$
-log(log(x)^2/log(3)^2)/log(1/2) + log((-log(x))/log(3))^2/log(1/2)^2 <= 3
Solución de la desigualdad en el gráfico