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3^(x+2)=(-1/3*x)+1/3 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
 x + 2     x   1
3      = - - + -
           3   3
$$3^{x + 2} = \frac{1}{3} - \frac{x}{3}$$
Gráfica
Suma y producto de raíces [src]
suma
         W(log(443426488243037769948249630619149892803))
-2 + 1 - -----------------------------------------------
                              log(3)                    
$$-2 + \left(- \frac{W\left(\log{\left(443426488243037769948249630619149892803 \right)}\right)}{\log{\left(3 \right)}} + 1\right)$$
=
     W(log(443426488243037769948249630619149892803))
-1 - -----------------------------------------------
                          log(3)                    
$$- \frac{W\left(\log{\left(443426488243037769948249630619149892803 \right)}\right)}{\log{\left(3 \right)}} - 1$$
producto
   /    W(log(443426488243037769948249630619149892803))\
-2*|1 - -----------------------------------------------|
   \                         log(3)                    /
$$- 2 \left(- \frac{W\left(\log{\left(443426488243037769948249630619149892803 \right)}\right)}{\log{\left(3 \right)}} + 1\right)$$
=
     2*W(log(443426488243037769948249630619149892803))
-2 + -------------------------------------------------
                           log(3)                     
$$-2 + \frac{2 W\left(\log{\left(443426488243037769948249630619149892803 \right)}\right)}{\log{\left(3 \right)}}$$
-2 + 2*LambertW(log(443426488243037769948249630619149892803))/log(3)
Respuesta rápida [src]
x1 = -2
$$x_{1} = -2$$
         W(log(443426488243037769948249630619149892803))
x2 = 1 - -----------------------------------------------
                              log(3)                    
$$x_{2} = - \frac{W\left(\log{\left(443426488243037769948249630619149892803 \right)}\right)}{\log{\left(3 \right)}} + 1$$
x2 = -LambertW(log(443426488243037769948249630619149892803))/log(3) + 1
Respuesta numérica [src]
x1 = -2.0
x2 = -2.0
x3 = -2.00000000000012
x4 = -2.00000000000068
x5 = -2.0
x6 = -2.00000000000029
x7 = -2.00000000000001
x8 = -2.00000000000004
x8 = -2.00000000000004