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log_4(x-5)/1-2log_4(x)>=2log_4(x) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
/log(x - 5)\                       
|----------|                       
\  log(4)  /     log(x)      log(x)
------------ - 2*------ >= 2*------
     1           log(4)      log(4)
$$\frac{\frac{1}{\log{\left(4 \right)}} \log{\left(x - 5 \right)}}{1} - 2 \frac{\log{\left(x \right)}}{\log{\left(4 \right)}} \geq 2 \frac{\log{\left(x \right)}}{\log{\left(4 \right)}}$$
(log(x - 5)/log(4))/1 - 2*log(x)/log(4) >= 2*(log(x)/log(4))