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(log(x²-2)/log(2))-(log(x)/log(2))<=(log(x-(2/x²))/log(2)) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
                           /    2 \
                        log|x - --|
   / 2    \                |     2|
log\x  - 2/   log(x)       \    x /
----------- - ------ <= -----------
   log(2)     log(2)       log(2)  
$$- \frac{\log{\left(x \right)}}{\log{\left(2 \right)}} + \frac{\log{\left(x^{2} - 2 \right)}}{\log{\left(2 \right)}} \leq \frac{\log{\left(x - \frac{2}{x^{2}} \right)}}{\log{\left(2 \right)}}$$
-log(x)/log(2) + log(x^2 - 2)/log(2) <= log(x - 2/x^2)/log(2)
Solución de la desigualdad en el gráfico