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2*(log(x*sqrt(2))/log(7))-log(x/(1-x))/log(7)<=log(8(x^2)+1/x-5)/log(7) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
                    /  x  \       /   2   1    \
     /    ___\   log|-----|    log|8*x  + - - 5|
  log\x*\/ 2 /      \1 - x/       \       x    /
2*------------ - ---------- <= -----------------
     log(7)        log(7)            log(7)     
$$2 \frac{\log{\left(\sqrt{2} x \right)}}{\log{\left(7 \right)}} - \frac{\log{\left(\frac{x}{1 - x} \right)}}{\log{\left(7 \right)}} \leq \frac{\log{\left(\left(8 x^{2} + \frac{1}{x}\right) - 5 \right)}}{\log{\left(7 \right)}}$$
2*(log(sqrt(2)*x)/log(7)) - log(x/(1 - x))/log(7) <= log(8*x^2 + 1/x - 5)/log(7)
Solución de la desigualdad en el gráfico