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9^x+(x-13)*3^x-9x+36=0 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
 x             x               
9  + (x - 13)*3  - 9*x + 36 = 0
(9x+(3x(x13)+9x))+36=0\left(- 9 x + \left(3^{x} \left(x - 13\right) + 9^{x}\right)\right) + 36 = 0
Gráfica
-12.5-10.0-7.5-5.0-2.50.02.55.07.510.012.515.017.5-500000000000500000000000
Suma y producto de raíces [src]
suma
        -W(log(443426488243037769948249630619149892803)) + log(81)
1 + 2 + ----------------------------------------------------------
                                  log(3)                          
W(log(443426488243037769948249630619149892803))+log(81)log(3)+(1+2)\frac{- W\left(\log{\left(443426488243037769948249630619149892803 \right)}\right) + \log{\left(81 \right)}}{\log{\left(3 \right)}} + \left(1 + 2\right)
=
    -W(log(443426488243037769948249630619149892803)) + log(81)
3 + ----------------------------------------------------------
                              log(3)                          
W(log(443426488243037769948249630619149892803))+log(81)log(3)+3\frac{- W\left(\log{\left(443426488243037769948249630619149892803 \right)}\right) + \log{\left(81 \right)}}{\log{\left(3 \right)}} + 3
producto
  -W(log(443426488243037769948249630619149892803)) + log(81)
2*----------------------------------------------------------
                            log(3)                          
2W(log(443426488243037769948249630619149892803))+log(81)log(3)2 \frac{- W\left(\log{\left(443426488243037769948249630619149892803 \right)}\right) + \log{\left(81 \right)}}{\log{\left(3 \right)}}
=
2*(-W(log(443426488243037769948249630619149892803)) + log(81))
--------------------------------------------------------------
                            log(3)                            
2(W(log(443426488243037769948249630619149892803))+log(81))log(3)\frac{2 \left(- W\left(\log{\left(443426488243037769948249630619149892803 \right)}\right) + \log{\left(81 \right)}\right)}{\log{\left(3 \right)}}
2*(-LambertW(log(443426488243037769948249630619149892803)) + log(81))/log(3)
Respuesta rápida [src]
x1 = 1
x1=1x_{1} = 1
x2 = 2
x2=2x_{2} = 2
     -W(log(443426488243037769948249630619149892803)) + log(81)
x3 = ----------------------------------------------------------
                               log(3)                          
x3=W(log(443426488243037769948249630619149892803))+log(81)log(3)x_{3} = \frac{- W\left(\log{\left(443426488243037769948249630619149892803 \right)}\right) + \log{\left(81 \right)}}{\log{\left(3 \right)}}
x3 = (-LambertW(log(443426488243037769948249630619149892803)) + log(81))/log(3)
Respuesta numérica [src]
x1 = 1.0
x2 = 2.0
x2 = 2.0