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((4^(x-1)-2^x-2)/(2^x+4))-((4^x+2^x-3)/(2^x-8))-(2*2^x-4)=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
 x - 1    x        x    x                     
4      - 2  - 2   4  + 2  - 3        x        
--------------- - ----------- + - 2*2  + 4 = 0
      x               x                       
     2  + 4          2  - 8                   
$$\left(4 - 2 \cdot 2^{x}\right) + \left(\frac{\left(- 2^{x} + 4^{x - 1}\right) - 2}{2^{x} + 4} - \frac{\left(2^{x} + 4^{x}\right) - 3}{2^{x} - 8}\right) = 0$$
Gráfica
Suma y producto de raíces [src]
suma
           /50\         
        log|--|         
           \11/    pi*I 
1 + 2 + ------- + ------
         log(2)   log(2)
$$\left(1 + 2\right) + \left(\frac{\log{\left(\frac{50}{11} \right)}}{\log{\left(2 \right)}} + \frac{i \pi}{\log{\left(2 \right)}}\right)$$
=
       /50\         
    log|--|         
       \11/    pi*I 
3 + ------- + ------
     log(2)   log(2)
$$\frac{\log{\left(\frac{50}{11} \right)}}{\log{\left(2 \right)}} + 3 + \frac{i \pi}{\log{\left(2 \right)}}$$
producto
  /   /50\         \
  |log|--|         |
  |   \11/    pi*I |
2*|------- + ------|
  \ log(2)   log(2)/
$$2 \left(\frac{\log{\left(\frac{50}{11} \right)}}{\log{\left(2 \right)}} + \frac{i \pi}{\log{\left(2 \right)}}\right)$$
=
  /          /50\\
2*|pi*I + log|--||
  \          \11//
------------------
      log(2)      
$$\frac{2 \left(\log{\left(\frac{50}{11} \right)} + i \pi\right)}{\log{\left(2 \right)}}$$
2*(pi*i + log(50/11))/log(2)
Respuesta rápida [src]
x1 = 1
$$x_{1} = 1$$
x2 = 2
$$x_{2} = 2$$
        /50\         
     log|--|         
        \11/    pi*I 
x3 = ------- + ------
      log(2)   log(2)
$$x_{3} = \frac{\log{\left(\frac{50}{11} \right)}}{\log{\left(2 \right)}} + \frac{i \pi}{\log{\left(2 \right)}}$$
x3 = log(50/11)/log(2) + i*pi/log(2)
Respuesta numérica [src]
x1 = 1.0
x2 = 2.0
x3 = 0.999999999999964
x3 = 0.999999999999964