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logsqrt2(5-x)²>=x²log2(x-5)²+xlog1/sqrt2(5-x) desigualdades

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Solución

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                                   2             
   2/       0.5\     2 /log(x - 5)\     x*log(1) 
log \(5 - x)   / >= x *|----------|  + ----------
                       \  log(2)  /           0.5
                                       (5 - x)   
log((5x)0.5)2x2(log(x5)log(2))2+xlog(1)(5x)0.5\log{\left(\left(5 - x\right)^{0.5} \right)}^{2} \geq x^{2} \left(\frac{\log{\left(x - 5 \right)}}{\log{\left(2 \right)}}\right)^{2} + \frac{x \log{\left(1 \right)}}{\left(5 - x\right)^{0.5}}
log((5 - x)^0.5)^2 >= x^2*(log(x - 5)/log(2))^2 + (x*log(1))/(5 - x)^0.5