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(log(x)-5)/(1-2log(x))>=2log(x) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
 log(x) - 5             
------------ >= 2*log(x)
1 - 2*log(x)            
$$\frac{\log{\left(x \right)} - 5}{1 - 2 \log{\left(x \right)}} \geq 2 \log{\left(x \right)}$$
(log(x) - 5)/(1 - 2*log(x)) >= 2*log(x)
Solución de la desigualdad en el gráfico
Respuesta rápida 2 [src]
     -1      1/2   5/4 
(0, e  ] U (e   , e   ]
$$x\ in\ \left(0, e^{-1}\right] \cup \left(e^{\frac{1}{2}}, e^{\frac{5}{4}}\right]$$
x in Union(Interval.Lopen(0, exp(-1)), Interval.Lopen(exp(1/2), exp(5/4)))
Respuesta rápida [src]
  /   /      5/4   1/2    \     /      -1       \\
Or\And\x <= e   , e    < x/, And\x <= e  , 0 < x//
$$\left(x \leq e^{\frac{5}{4}} \wedge e^{\frac{1}{2}} < x\right) \vee \left(x \leq e^{-1} \wedge 0 < x\right)$$
((0 < x)∧(x <= exp(-1)))∨((x <= exp(5/4))∧(exp(1/2) < x))