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log2(log1/3(log5(x)))>0 desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
   /log(1) log(x)\    
log|------*------|    
   \  3    log(5)/    
------------------ > 0
      log(2)          
$$\frac{\log{\left(\frac{\log{\left(1 \right)}}{3} \frac{\log{\left(x \right)}}{\log{\left(5 \right)}} \right)}}{\log{\left(2 \right)}} > 0$$
log((log(1)/3)*(log(x)/log(5)))/log(2) > 0