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Resolver desigualdades/ 12*x+3*sqrt(3*x^4+4*x^5-4*x^6)*log_2(x^2)>3*sqrt(3+4x-4x^2)+4*x^3log_4(x^4)

12*x+3*sqrt(3*x^4+4*x^5-4*x^6)*log_2(x^2)>3*sqrt(3+4x-4x^2)+4*x^3log_4(x^4) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src] 
            ____________________    / 2\        ________________           / 4\
           /    4      5      6  log\x /       /              2       3 log\x /
12*x + 3*\/  3*x  + 4*x  - 4*x  *------- > 3*\/  3 + 4*x - 4*x   + 4*x *-------
                                  log(2)                                 log(4)
$$12 x + \frac{\log{\left(x^{2} \right)}}{\log{\left(2 \right)}} 3 \sqrt{- 4 x^{6} + \left(4 x^{5} + 3 x^{4}\right)} > 4 x^{3} \frac{\log{\left(x^{4} \right)}}{\log{\left(4 \right)}} + 3 \sqrt{- 4 x^{2} + \left(4 x + 3\right)}$$ 
12*x + (log(x^2)/log(2))*(3*sqrt(-4*x^6 + 4*x^5 + 3*x^4)) > (4*x^3)*(log(x^4)/log(4)) + 3*sqrt(-4*x^2 + 4*x + 3)
Solución de la desigualdad en el gráfico
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