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Resolver desigualdades/ (lg(25*x-2)/lg(25)-lg(25*x-2))/(lg(5*x)/lg(4)-lg(5*x))>=-lg(2)/lg(5)

(lg(25*x-2)/lg(25)-lg(25*x-2))/(lg(5*x)/lg(4)-lg(5*x))>=-lg(2)/lg(5) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src] 
log(25*x - 2)                            
------------- - log(25*x - 2)            
   log(25)                       -log(2) 
----------------------------- >= --------
     log(5*x)                     log(5) 
     -------- - log(5*x)                 
      log(4)
$$\frac{- \log{\left(25 x - 2 \right)} + \frac{\log{\left(25 x - 2 \right)}}{\log{\left(25 \right)}}}{- \log{\left(5 x \right)} + \frac{\log{\left(5 x \right)}}{\log{\left(4 \right)}}} \geq \frac{\left(-1\right) \log{\left(2 \right)}}{\log{\left(5 \right)}}$$ 
(-log(25*x - 2) + log(25*x - 2)/log(25))/(-log(5*x) + log(5*x)/log(4)) >= (-log(2))/log(5)
Solución de la desigualdad en el gráfico
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