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3^x-1+3^x+3^x+1=13*3^(x^2-7) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
                            2    
 x        x    x           x  - 7
3  - 1 + 3  + 3  + 1 = 13*3      
$$\left(3^{x} + \left(3^{x} + \left(3^{x} - 1\right)\right)\right) + 1 = 13 \cdot 3^{x^{2} - 7}$$
Gráfica
Respuesta rápida [src]
             _______________________
            /    /5559060566555523\ 
           /  log|----------------| 
     1   \/      \     28561      / 
x1 = - + ---------------------------
     2               ________       
                 2*\/ log(3)        
$$x_{1} = \frac{1}{2} + \frac{\sqrt{\log{\left(\frac{5559060566555523}{28561} \right)}}}{2 \sqrt{\log{\left(3 \right)}}}$$
             _______________________
            /    /5559060566555523\ 
           /  log|----------------| 
     1   \/      \     28561      / 
x2 = - - ---------------------------
     2               ________       
                 2*\/ log(3)        
$$x_{2} = - \frac{\sqrt{\log{\left(\frac{5559060566555523}{28561} \right)}}}{2 \sqrt{\log{\left(3 \right)}}} + \frac{1}{2}$$
x2 = -sqrt(log(5559060566555523/28561))/(2*sqrt(log(3))) + 1/2
Suma y producto de raíces [src]
suma
        _______________________           _______________________
       /    /5559060566555523\           /    /5559060566555523\ 
      /  log|----------------|          /  log|----------------| 
1   \/      \     28561      /    1   \/      \     28561      / 
- + --------------------------- + - - ---------------------------
2               ________          2               ________       
            2*\/ log(3)                       2*\/ log(3)        
$$\left(- \frac{\sqrt{\log{\left(\frac{5559060566555523}{28561} \right)}}}{2 \sqrt{\log{\left(3 \right)}}} + \frac{1}{2}\right) + \left(\frac{1}{2} + \frac{\sqrt{\log{\left(\frac{5559060566555523}{28561} \right)}}}{2 \sqrt{\log{\left(3 \right)}}}\right)$$
=
1
$$1$$
producto
/        _______________________\ /        _______________________\
|       /    /5559060566555523\ | |       /    /5559060566555523\ |
|      /  log|----------------| | |      /  log|----------------| |
|1   \/      \     28561      / | |1   \/      \     28561      / |
|- + ---------------------------|*|- - ---------------------------|
|2               ________       | |2               ________       |
\            2*\/ log(3)        / \            2*\/ log(3)        /
$$\left(\frac{1}{2} + \frac{\sqrt{\log{\left(\frac{5559060566555523}{28561} \right)}}}{2 \sqrt{\log{\left(3 \right)}}}\right) \left(- \frac{\sqrt{\log{\left(\frac{5559060566555523}{28561} \right)}}}{2 \sqrt{\log{\left(3 \right)}}} + \frac{1}{2}\right)$$
=
     log(13)
-8 + -------
      log(3)
$$-8 + \frac{\log{\left(13 \right)}}{\log{\left(3 \right)}}$$
-8 + log(13)/log(3)
Respuesta numérica [src]
x1 = -1.93213537463012
x2 = 2.93213537463012
x2 = 2.93213537463012