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log5(x-2)(24+2x-x^2)+log5(9-x)/(24+2x-x^2)<=-1+log5(12x) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
                              /log(9 - x)\                  
                              |----------|                  
log(x - 2) /            2\    \  log(5)  /         log(12*x)
----------*\24 + 2*x - x / + ------------- <= -1 + ---------
  log(5)                                 2           log(5) 
                             24 + 2*x - x                   
$$\frac{\frac{1}{\log{\left(5 \right)}} \log{\left(9 - x \right)}}{- x^{2} + \left(2 x + 24\right)} + \frac{\log{\left(x - 2 \right)}}{\log{\left(5 \right)}} \left(- x^{2} + \left(2 x + 24\right)\right) \leq \frac{\log{\left(12 x \right)}}{\log{\left(5 \right)}} - 1$$
(log(9 - x)/log(5))/(-x^2 + 2*x + 24) + (log(x - 2)/log(5))*(-x^2 + 2*x + 24) <= log(12*x)/log(5) - 1
Solución de la desigualdad en el gráfico