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((log((x-4)/(2-x))/(5))-(log((x-4)/(2-x))/(15)))/((log(x-2)/(5))-(log(x-2)/(5)))<=log(6)/(5) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
   /x - 4\      /x - 4\          
log|-----|   log|-----|          
   \2 - x/      \2 - x/          
---------- - ----------          
    5            15        log(6)
----------------------- <= ------
log(x - 2)   log(x - 2)      5   
---------- - ----------          
    5            5               
$$\frac{- \frac{\log{\left(\frac{x - 4}{2 - x} \right)}}{15} + \frac{\log{\left(\frac{x - 4}{2 - x} \right)}}{5}}{- \frac{\log{\left(x - 2 \right)}}{5} + \frac{\log{\left(x - 2 \right)}}{5}} \leq \frac{\log{\left(6 \right)}}{5}$$
(-log((x - 4)/(2 - x))/15 + log((x - 4)/(2 - x))/5)/(-log(x - 2)/5 + log(x - 2)/5) <= log(6)/5
Respuesta rápida 2 [src]
{3}
$$x\ in\ \left\{3\right\}$$
x in FiniteSet(3)
Respuesta rápida [src]
x = 3
$$x = 3$$
x = 3