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sqr(2^(x^2-2x-3))=sqr(33+sqr(128))-1 la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src] 
               2            
/  2          \             
| x  - 2*x - 3|             
\2            /  = 269517888
(2(x2−2x)−3)2=269517888\left(2^{\left(x^{2} - 2 x\right) - 3}\right)^{2} = 269517888
Simplificar
Respuesta rápida [src] 
           ___   __________________
         \/ 2 *\/ log(68996579328) 
x1 = 1 + --------------------------
                    ________       
                2*\/ log(2)
x1=1+2log⁡(68996579328)2log⁡(2)x_{1} = 1 + \frac{\sqrt{2} \sqrt{\log{\left(68996579328 \right)}}}{2 \sqrt{\log{\left(2 \right)}}} 
           ___   __________________
         \/ 2 *\/ log(68996579328) 
x2 = 1 - --------------------------
                    ________       
                2*\/ log(2)
x2=−2log⁡(68996579328)2log⁡(2)+1x_{2} = - \frac{\sqrt{2} \sqrt{\log{\left(68996579328 \right)}}}{2 \sqrt{\log{\left(2 \right)}}} + 1 
x2 = -sqrt(2)*sqrt(log(68996579328))/(2*sqrt(log(2))) + 1
Suma y producto de raíces [src] 
suma
      ___   __________________         ___   __________________
    \/ 2 *\/ log(68996579328)        \/ 2 *\/ log(68996579328) 
1 + -------------------------- + 1 - --------------------------
               ________                         ________       
           2*\/ log(2)                      2*\/ log(2)
(−2log⁡(68996579328)2log⁡(2)+1)+(1+2log⁡(68996579328)2log⁡(2))\left(- \frac{\sqrt{2} \sqrt{\log{\left(68996579328 \right)}}}{2 \sqrt{\log{\left(2 \right)}}} + 1\right) + \left(1 + \frac{\sqrt{2} \sqrt{\log{\left(68996579328 \right)}}}{2 \sqrt{\log{\left(2 \right)}}}\right) 
=
2
22 
producto
/      ___   __________________\ /      ___   __________________\
|    \/ 2 *\/ log(68996579328) | |    \/ 2 *\/ log(68996579328) |
|1 + --------------------------|*|1 - --------------------------|
|               ________       | |               ________       |
\           2*\/ log(2)        / \           2*\/ log(2)        /
(1+2log⁡(68996579328)2log⁡(2))(−2log⁡(68996579328)2log⁡(2)+1)\left(1 + \frac{\sqrt{2} \sqrt{\log{\left(68996579328 \right)}}}{2 \sqrt{\log{\left(2 \right)}}}\right) \left(- \frac{\sqrt{2} \sqrt{\log{\left(68996579328 \right)}}}{2 \sqrt{\log{\left(2 \right)}}} + 1\right) 
=
-log(17249144832) 
------------------
     2*log(2)
−log⁡(17249144832)2log⁡(2)- \frac{\log{\left(17249144832 \right)}}{2 \log{\left(2 \right)}} 
-log(17249144832)/(2*log(2))
Respuesta numérica [src] 
x1 = 5.24298278263344
x2 = -3.24298278263344
x2 = -3.24298278263344
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