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log(5^(2*x+1)/log(5))*(log(10)/log(5))
En la desigualdad la incógnita

Solución

                           /2*x - 1   1 \
                        log|------- - --|
   / 2*x + 1\              |    x     10|
   |5       | log(10)      \   4        /
log|--------|*------- < -----------------
   \ log(5) /  log(5)         log(5)     
$$\frac{\log{\left(10 \right)}}{\log{\left(5 \right)}} \log{\left(\frac{5^{2 x + 1}}{\log{\left(5 \right)}} \right)} < \frac{\log{\left(- \frac{1}{10} + \frac{2 x - 1}{4^{x}} \right)}}{\log{\left(5 \right)}}$$
(log(10)/log(5))*log(5^(2*x + 1)/log(5)) < log(-1/10 + (2*x - 1)/4^x)/log(5)
Solución de la desigualdad en el gráfico