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log_(5+x)(1−2x)≥log_(5+x)(3)+log_(5+x)(x^2) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
                                 / 2\  
log(1 - 2*x)      log(3)      log\x /  
------------ >= ---------- + ----------
 log(5 + x)     log(5 + x)   log(5 + x)
$$\frac{\log{\left(1 - 2 x \right)}}{\log{\left(x + 5 \right)}} \geq \frac{\log{\left(x^{2} \right)}}{\log{\left(x + 5 \right)}} + \frac{\log{\left(3 \right)}}{\log{\left(x + 5 \right)}}$$
log(1 - 2*x)/log(x + 5) >= log(x^2)/log(x + 5) + log(3)/log(x + 5)
Solución de la desigualdad en el gráfico
Respuesta rápida 2 [src]
[-5, -4) U [-1, 0) U (0, 1/3]
$$x\ in\ \left[-5, -4\right) \cup \left[-1, 0\right) \cup \left(0, \frac{1}{3}\right]$$
x in Union(Interval.Ropen(-5, -4), Interval.Ropen(-1, 0), Interval.Lopen(0, 1/3))
Respuesta rápida [src]
Or(And(-5 <= x, x < -4), And(-1 <= x, x < 0), And(x <= 1/3, 0 < x))
$$\left(-5 \leq x \wedge x < -4\right) \vee \left(-1 \leq x \wedge x < 0\right) \vee \left(x \leq \frac{1}{3} \wedge 0 < x\right)$$
((-5 <= x)∧(x < -4))∨((-1 <= x)∧(x < 0))∨((x <= 1/3)∧(0 < x))