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log3(x-5)(x^2-2x-11)-log3(4x-x^2+5)>=log32(4-x) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
                                /       2    \              
log(x - 5) / 2           \   log\4*x - x  + 5/    log(4 - x)
----------*\x  - 2*x - 11/ - ----------------- >= ----------
  log(3)                           log(3)          log(32)  
$$\frac{\log{\left(x - 5 \right)}}{\log{\left(3 \right)}} \left(\left(x^{2} - 2 x\right) - 11\right) - \frac{\log{\left(\left(- x^{2} + 4 x\right) + 5 \right)}}{\log{\left(3 \right)}} \geq \frac{\log{\left(4 - x \right)}}{\log{\left(32 \right)}}$$
(log(x - 5)/log(3))*(x^2 - 2*x - 11) - log(-x^2 + 4*x + 5)/log(3) >= log(4 - x)/log(32)