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(log(3*x^(2)-2)/log(5))-(log(x)/log(5))>(log(3*x^2+1/(x-3))/log(5)) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
                            /   2     1  \
   /   2    \            log|3*x  + -----|
log\3*x  - 2/   log(x)      \       x - 3/
------------- - ------ > -----------------
    log(5)      log(5)         log(5)     
$$- \frac{\log{\left(x \right)}}{\log{\left(5 \right)}} + \frac{\log{\left(3 x^{2} - 2 \right)}}{\log{\left(5 \right)}} > \frac{\log{\left(3 x^{2} + \frac{1}{x - 3} \right)}}{\log{\left(5 \right)}}$$
-log(x)/log(5) + log(3*x^2 - 2)/log(5) > log(3*x^2 + 1/(x - 3))/log(5)
Solución de la desigualdad en el gráfico