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2^((log(x)/log(0,5))^7)+x^(log(x)/log(0,5))>2,5 desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
 /          7\                  
 |/ log(x) \ |     log(x)       
 ||--------| |    --------      
 \\log(1/2)/ /    log(1/2)      
2              + x         > 5/2
$$2^{\left(\frac{\log{\left(x \right)}}{\log{\left(\frac{1}{2} \right)}}\right)^{7}} + x^{\frac{\log{\left(x \right)}}{\log{\left(\frac{1}{2} \right)}}} > \frac{5}{2}$$
2^((log(x)/log(1/2))^7) + x^(log(x)/log(1/2)) > 5/2