Sr Examen

Otras calculadoras

log((5^(-x^2)-5^(-4))*(5^(-x^2)-1))*1/log(9)+log((5^(-x^2)-5^(-4))*1/(5^(-x^2)-1))*1/log(9)<=log(5^(-x^2)*5^5-5^(-9))*1/log(3) desigualdades

En la desigualdad la incógnita

Solución

Ha introducido [src]
                                     /   2         \                            
                                     | -x          |                            
                                     |5    - 0.0016|                            
                                  log|-------------|                            
   //   2         \ /   2    \\      |      2      |       /   2               \
   || -x          | | -x     ||      |    -x       |       | -x                |
log\\5    - 0.0016/*\5    - 1//      \   5    - 1  /    log\5   *3125 - 5.12e-7/
------------------------------- + ------------------ <= ------------------------
             log(9)                     log(9)                   log(3)         
$$\frac{\log{\left(\frac{-0.0016 + 5^{- x^{2}}}{-1 + 5^{- x^{2}}} \right)}}{\log{\left(9 \right)}} + \frac{\log{\left(\left(-1 + 5^{- x^{2}}\right) \left(-0.0016 + 5^{- x^{2}}\right) \right)}}{\log{\left(9 \right)}} \leq \frac{\log{\left(-5.12 \cdot 10^{-7} + 3125 \cdot 5^{- x^{2}} \right)}}{\log{\left(3 \right)}}$$
log((-0.0016 + 5^(-x^2))/(-1 + 5^(-x^2)))/log(9) + log((-1 + 5^(-x^2))*(-0.0016 + 5^(-x^2)))/log(9) <= log(-5.12e-7 + 3125*5^(-x^2))/log(3)
Solución de la desigualdad en el gráfico