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log(3)*(2*x+1)+log(3)*(1/32*x^2+1)>=log(3)*(1/16x+1)

log(3)*(2*x+1)+log(3)*(1/32*x^2+1)>=log(3)*(1/16x+1) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
                          / 2    \                   
                          |x     |           /x     \
log(3)*(2*x + 1) + log(3)*|-- + 1| >= log(3)*|-- + 1|
                          \32    /           \16    /
$$\left(2 x + 1\right) \log{\left(3 \right)} + \left(\frac{x^{2}}{32} + 1\right) \log{\left(3 \right)} \geq \left(\frac{x}{16} + 1\right) \log{\left(3 \right)}$$
(2*x + 1)*log(3) + (x^2/32 + 1)*log(3) >= (x/16 + 1)*log(3)
Solución de la desigualdad en el gráfico
Respuesta rápida [src]
  /   /             _____         \     /        _____             \\
Or\And\x <= -31 - \/ 929 , -oo < x/, And\-31 + \/ 929  <= x, x < oo//
$$\left(x \leq -31 - \sqrt{929} \wedge -\infty < x\right) \vee \left(-31 + \sqrt{929} \leq x \wedge x < \infty\right)$$
((x < oo)∧(-31 + sqrt(929) <= x))∨((-oo < x)∧(x <= -31 - sqrt(929)))
Respuesta rápida 2 [src]
              _____             _____     
(-oo, -31 - \/ 929 ] U [-31 + \/ 929 , oo)
$$x\ in\ \left(-\infty, -31 - \sqrt{929}\right] \cup \left[-31 + \sqrt{929}, \infty\right)$$
x in Union(Interval(-oo, -31 - sqrt(929)), Interval(-31 + sqrt(929), oo))
Gráfico
log(3)*(2*x+1)+log(3)*(1/32*x^2+1)>=log(3)*(1/16x+1) desigualdades