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log(3*x+2*sqrt(x)-1)*1/(log(5*x+3*sqrt(x)-2)^5)>=log(11)*1/log(32)*1/(log(11)*1/log(2)) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
                           /log(11)\
    /          ___    \    |-------|
 log\3*x + 2*\/ x  - 1/    \log(32)/
----------------------- >= ---------
   5/          ___    \    /log(11)\
log \5*x + 3*\/ x  - 2/    |-------|
                           \ log(2)/
$$\frac{\log{\left(\left(2 \sqrt{x} + 3 x\right) - 1 \right)}}{\log{\left(\left(3 \sqrt{x} + 5 x\right) - 2 \right)}^{5}} \geq \frac{\log{\left(11 \right)} \frac{1}{\log{\left(32 \right)}}}{\frac{1}{\log{\left(2 \right)}} \log{\left(11 \right)}}$$
log(2*sqrt(x) + 3*x - 1)/log(3*sqrt(x) + 5*x - 2)^5 >= (log(11)/log(32))/((log(11)/log(2)))
Solución de la desigualdad en el gráfico