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log(8*x^2+7)-log(x^2+x+1)>=log(x/(x+5)+7) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
   /   2    \      / 2        \       /  x      \
log\8*x  + 7/ - log\x  + x + 1/ >= log|----- + 7|
                                      \x + 5    /
$$\log{\left(8 x^{2} + 7 \right)} - \log{\left(\left(x^{2} + x\right) + 1 \right)} \geq \log{\left(\frac{x}{x + 5} + 7 \right)}$$
log(8*x^2 + 7) - log(x^2 + x + 1) >= log(x/(x + 5) + 7)
Respuesta rápida [src]
Or(And(x <= -12, -oo < x), And(x <= 0, -35/8 < x))
$$\left(x \leq -12 \wedge -\infty < x\right) \vee \left(x \leq 0 \wedge - \frac{35}{8} < x\right)$$
((x <= -12)∧(-oo < x))∨((x <= 0)∧(-35/8 < x))
Respuesta rápida 2 [src]
(-oo, -12] U (-35/8, 0]
$$x\ in\ \left(-\infty, -12\right] \cup \left(- \frac{35}{8}, 0\right]$$
x in Union(Interval(-oo, -12), Interval.Lopen(-35/8, 0))