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2log2^x-1|x|/log2^x-1(x+7)<=log3(x+12)/log3(x+7) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
                                /log(x + 12)\
                                |-----------|
     x        |x|               \   log(3)  /
2*log (2) - ------- + -x - 7 <= -------------
               x                 /log(x + 7)\
            log (2)              |----------|
                                 \  log(3)  /
$$\left(- x - 7\right) + \left(2 \log{\left(2 \right)}^{x} - \frac{\left|{x}\right|}{\log{\left(2 \right)}^{x}}\right) \leq \frac{\frac{1}{\log{\left(3 \right)}} \log{\left(x + 12 \right)}}{\frac{1}{\log{\left(3 \right)}} \log{\left(x + 7 \right)}}$$
-x - 7 + 2*log(2)^x - |x|/log(2)^x <= (log(x + 12)/log(3))/((log(x + 7)/log(3)))
Solución de la desigualdad en el gráfico