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log(17*x^2+16)/log(2)-log(x^2+x+1)/log(2)>=log(x/(x+10)+16)/log(2)

log(17*x^2+16)/log(2)-log(x^2+x+1)/log(2)>=log(x/(x+10)+16)/log(2) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
                                        /  x        \
   /    2     \      / 2        \    log|------ + 16|
log\17*x  + 16/   log\x  + x + 1/       \x + 10     /
--------------- - --------------- >= ----------------
     log(2)            log(2)             log(2)     
$$\frac{\log{\left(17 x^{2} + 16 \right)}}{\log{\left(2 \right)}} - \frac{\log{\left(\left(x^{2} + x\right) + 1 \right)}}{\log{\left(2 \right)}} \geq \frac{\log{\left(\frac{x}{x + 10} + 16 \right)}}{\log{\left(2 \right)}}$$
log(17*x^2 + 16)/log(2) - log(x^2 + x + 1)/log(2) >= log(x/(x + 10) + 16)/log(2)
Solución de la desigualdad en el gráfico
Gráfico
log(17*x^2+16)/log(2)-log(x^2+x+1)/log(2)>=log(x/(x+10)+16)/log(2) desigualdades