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(3^x+5)/(3^x-3)+(3^x-7)/(3^x+1)=(-32)/(9^x-2*3^x-3) la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
 x        x                    
3  + 5   3  - 7        -32     
------ + ------ = -------------
 x        x        x      x    
3  - 3   3  + 1   9  - 2*3  - 3
3x−73x+1+3x+53x−3=−32(−2⋅3x+9x)−3\frac{3^{x} - 7}{3^{x} + 1} + \frac{3^{x} + 5}{3^{x} - 3} = - \frac{32}{\left(- 2 \cdot 3^{x} + 9^{x}\right) - 3}
Simplificar
Gráfica
02468-8-6-4-2-1010-50005000
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Respuesta rápida [src] 
        /  ____\         /    ___\
     log\\/ 29 /   I*atan\2*\/ 7 /
x1 = ----------- - ---------------
        log(3)          log(3)
x1=log⁡(29)log⁡(3)−iatan⁡(27)log⁡(3)x_{1} = \frac{\log{\left(\sqrt{29} \right)}}{\log{\left(3 \right)}} - \frac{i \operatorname{atan}{\left(2 \sqrt{7} \right)}}{\log{\left(3 \right)}} 
        /  ____\         /    ___\
     log\\/ 29 /   I*atan\2*\/ 7 /
x2 = ----------- + ---------------
        log(3)          log(3)
x2=log⁡(29)log⁡(3)+iatan⁡(27)log⁡(3)x_{2} = \frac{\log{\left(\sqrt{29} \right)}}{\log{\left(3 \right)}} + \frac{i \operatorname{atan}{\left(2 \sqrt{7} \right)}}{\log{\left(3 \right)}} 
x2 = log(sqrt(29))/log(3) + i*atan(2*sqrt(7))/log(3)
Suma y producto de raíces [src] 
suma
   /  ____\         /    ___\      /  ____\         /    ___\
log\\/ 29 /   I*atan\2*\/ 7 /   log\\/ 29 /   I*atan\2*\/ 7 /
----------- - --------------- + ----------- + ---------------
   log(3)          log(3)          log(3)          log(3)
(log⁡(29)log⁡(3)−iatan⁡(27)log⁡(3))+(log⁡(29)log⁡(3)+iatan⁡(27)log⁡(3))\left(\frac{\log{\left(\sqrt{29} \right)}}{\log{\left(3 \right)}} - \frac{i \operatorname{atan}{\left(2 \sqrt{7} \right)}}{\log{\left(3 \right)}}\right) + \left(\frac{\log{\left(\sqrt{29} \right)}}{\log{\left(3 \right)}} + \frac{i \operatorname{atan}{\left(2 \sqrt{7} \right)}}{\log{\left(3 \right)}}\right) 
=
     /  ____\
2*log\\/ 29 /
-------------
    log(3)
2log⁡(29)log⁡(3)\frac{2 \log{\left(\sqrt{29} \right)}}{\log{\left(3 \right)}} 
producto
/   /  ____\         /    ___\\ /   /  ____\         /    ___\\
|log\\/ 29 /   I*atan\2*\/ 7 /| |log\\/ 29 /   I*atan\2*\/ 7 /|
|----------- - ---------------|*|----------- + ---------------|
\   log(3)          log(3)    / \   log(3)          log(3)    /
(log⁡(29)log⁡(3)−iatan⁡(27)log⁡(3))(log⁡(29)log⁡(3)+iatan⁡(27)log⁡(3))\left(\frac{\log{\left(\sqrt{29} \right)}}{\log{\left(3 \right)}} - \frac{i \operatorname{atan}{\left(2 \sqrt{7} \right)}}{\log{\left(3 \right)}}\right) \left(\frac{\log{\left(\sqrt{29} \right)}}{\log{\left(3 \right)}} + \frac{i \operatorname{atan}{\left(2 \sqrt{7} \right)}}{\log{\left(3 \right)}}\right) 
=
                    2    
    2/    ___\   log (29)
atan \2*\/ 7 / + --------
                    4    
-------------------------
            2            
         log (3)
atan⁡2(27)+log⁡(29)24log⁡(3)2\frac{\operatorname{atan}^{2}{\left(2 \sqrt{7} \right)} + \frac{\log{\left(29 \right)}^{2}}{4}}{\log{\left(3 \right)}^{2}} 
(atan(2*sqrt(7))^2 + log(29)^2/4)/log(3)^2
Respuesta numérica [src] 
x1 = 1.53252237605533 - 1.25978644148538*i
x2 = 1.53252237605533 + 1.25978644148538*i
x2 = 1.53252237605533 + 1.25978644148538*i
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