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log(64*x)*1/log(2)*1/(log(x-6)*1/log(2))+log(x-6)*1/log(2)*1/(log(64*x)*1/log(2))>=(73-log(x)*1/log(2))*1/(log(x)^2-36) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
/log(64*x)\    /log(x - 6)\         log(x) 
|---------|    |----------|    73 - ------ 
\  log(2) /    \  log(2)  /         log(2) 
------------ + ------------ >= ------------
/log(x - 6)\   /log(64*x)\        2        
|----------|   |---------|     log (x) - 36
\  log(2)  /   \  log(2) /                 
$$\frac{\frac{1}{\log{\left(2 \right)}} \log{\left(64 x \right)}}{\frac{1}{\log{\left(2 \right)}} \log{\left(x - 6 \right)}} + \frac{\frac{1}{\log{\left(2 \right)}} \log{\left(x - 6 \right)}}{\frac{1}{\log{\left(2 \right)}} \log{\left(64 x \right)}} \geq \frac{- \frac{\log{\left(x \right)}}{\log{\left(2 \right)}} + 73}{\log{\left(x \right)}^{2} - 36}$$
(log(64*x)/log(2))/((log(x - 6)/log(2))) + (log(x - 6)/log(2))/((log(64*x)/log(2))) >= (-log(x)/log(2) + 73)/(log(x)^2 - 36)
Solución de la desigualdad en el gráfico