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log7((5-x)(x^2+3))>=log7(x^2-11x+30)+log7(7-x) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
   /        / 2    \\       / 2            \             
log\(5 - x)*\x  + 3//    log\x  - 11*x + 30/   log(7 - x)
--------------------- >= ------------------- + ----------
        log(7)                  log(7)           log(7)  
$$\frac{\log{\left(\left(5 - x\right) \left(x^{2} + 3\right) \right)}}{\log{\left(7 \right)}} \geq \frac{\log{\left(7 - x \right)}}{\log{\left(7 \right)}} + \frac{\log{\left(\left(x^{2} - 11 x\right) + 30 \right)}}{\log{\left(7 \right)}}$$
log((5 - x)*(x^2 + 3))/log(7) >= log(7 - x)/log(7) + log(x^2 - 11*x + 30)/log(7)