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lg((4-x)/(x-15))+log_(1/10)(x-4)>=log_(1/10)(x-15)^2 desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
                                         2
   /4 - x \   log(x - 4)    /log(x - 15)\ 
log|------| + ---------- >= |-----------| 
   \x - 15/   log(1/10)     \ log(1/10) / 
log(4xx15)+log(x4)log(110)(log(x15)log(110))2\log{\left(\frac{4 - x}{x - 15} \right)} + \frac{\log{\left(x - 4 \right)}}{\log{\left(\frac{1}{10} \right)}} \geq \left(\frac{\log{\left(x - 15 \right)}}{\log{\left(\frac{1}{10} \right)}}\right)^{2}
log((4 - x)/(x - 15)) + log(x - 4)/log(1/10) >= (log(x - 15)/log(1/10))^2
Solución de la desigualdad en el gráfico
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