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(x^2+x)*log8(x^2+4*x-4)/|x-2|>log8(-x^2-4*x+4)/(x-2) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
            / 2          \   /   /   2          \\
/ 2    \ log\x  + 4*x - 4/   |log\- x  - 4*x + 4/|
\x  + x/*-----------------   |-------------------|
               log(8)        \       log(8)      /
-------------------------- > ---------------------
         |x - 2|                     x - 2        
$$\frac{\frac{\log{\left(\left(x^{2} + 4 x\right) - 4 \right)}}{\log{\left(8 \right)}} \left(x^{2} + x\right)}{\left|{x - 2}\right|} > \frac{\frac{1}{\log{\left(8 \right)}} \log{\left(\left(- x^{2} - 4 x\right) + 4 \right)}}{x - 2}$$
((log(x^2 + 4*x - 4)/log(8))*(x^2 + x))/|x - 2| > (log(-x^2 - 4*x + 4)/log(8))/(x - 2)