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Resolver desigualdades/ log(x^(2/25))/log(25)>log(x)*log(x/5)/(log(25)*log(25))

log(x^(2/25))/log(25)>log(x)*log(x/5)/(log(25)*log(25)) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src] 
                        /x\ 
   / 2/25\    log(x)*log|-| 
log\x    /              \5/ 
---------- > ---------------
 log(25)     log(25)*log(25)
$$\frac{\log{\left(x^{\frac{2}{25}} \right)}}{\log{\left(25 \right)}} > \frac{\log{\left(x \right)} \log{\left(\frac{x}{5} \right)}}{\log{\left(25 \right)} \log{\left(25 \right)}}$$ 
log(x^(2/25))/log(25) > (log(x)*log(x/5))/((log(25)*log(25)))
Solución de la desigualdad en el gráfico
Respuesta rápida 2 [src] 
       4/25 
(1, 5*5    )
$$x\ in\ \left(1, 5 \cdot 5^{\frac{4}{25}}\right)$$ 
x in Interval.open(1, 5*5^(4/25))
Respuesta rápida [src] 
   /              4/25\
And\1 < x, x < 5*5    /
$$1 < x \wedge x < 5 \cdot 5^{\frac{4}{25}}$$ 
(1 < x)∧(x < 5*5^(4/25))
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