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absolute(log(x/4)/log(10))*log(2*x*x)/log(4x)<=absolute(log(x/4)/log(10)) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
|    /x\|                        
| log|-||                        
|    \4/|               |    /x\|
|-------|*log(2*x*x)    | log|-||
|log(10)|               |    \4/|
-------------------- <= |-------|
      log(4*x)          |log(10)|
$$\frac{\log{\left(x 2 x \right)} \left|{\frac{\log{\left(\frac{x}{4} \right)}}{\log{\left(10 \right)}}}\right|}{\log{\left(4 x \right)}} \leq \left|{\frac{\log{\left(\frac{x}{4} \right)}}{\log{\left(10 \right)}}}\right|$$
(log(x*(2*x))*Abs(log(x/4)/log(10)))/log(4*x) <= Abs(log(x/4)/log(10))
Solución de la desigualdad en el gráfico
Respuesta rápida [src]
Or(And(x <= 2, 1/4 < x), x = 4)
$$\left(x \leq 2 \wedge \frac{1}{4} < x\right) \vee x = 4$$
(x = 4))∨((x <= 2)∧(1/4 < x)
Respuesta rápida 2 [src]
(1/4, 2] U {4}
$$x\ in\ \left(\frac{1}{4}, 2\right] \cup \left\{4\right\}$$
x in Union(FiniteSet(4), Interval.Lopen(1/4, 2))