Sr Examen

Otras calculadoras

log(((7-x)/(x+1))^2)/log(x+8)<=1-log((x+1)/(x-7))/log(x+8) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
   /       2\                  
   |/7 - x\ |           /x + 1\
log||-----| |        log|-----|
   \\x + 1/ /           \x - 7/
------------- <= 1 - ----------
  log(x + 8)         log(x + 8)
$$\frac{\log{\left(\left(\frac{7 - x}{x + 1}\right)^{2} \right)}}{\log{\left(x + 8 \right)}} \leq - \frac{\log{\left(\frac{x + 1}{x - 7} \right)}}{\log{\left(x + 8 \right)}} + 1$$
log(((7 - x)/(x + 1))^2)/log(x + 8) <= -log((x + 1)/(x - 7))/log(x + 8) + 1
Solución de la desigualdad en el gráfico
Respuesta rápida [src]
Or(And(-8 <= x, x < -7), And(-5 <= x, x <= -3), And(7 < x, x < oo))
$$\left(-8 \leq x \wedge x < -7\right) \vee \left(-5 \leq x \wedge x \leq -3\right) \vee \left(7 < x \wedge x < \infty\right)$$
((-8 <= x)∧(x < -7))∨((-5 <= x)∧(x <= -3))∨((7 < x)∧(x < oo))
Respuesta rápida 2 [src]
[-8, -7) U [-5, -3] U (7, oo)
$$x\ in\ \left[-8, -7\right) \cup \left[-5, -3\right] \cup \left(7, \infty\right)$$
x in Union(Interval.Ropen(-8, -7), Interval(-5, -3), Interval.open(7, oo))