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log(x)(9x^2)*(log(3)(x))^2=4 la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
          2           2    
log(x)*9*x *(log(3)*x)  = 4
$$\left(x \log{\left(3 \right)}\right)^{2} \cdot 9 x^{2} \log{\left(x \right)} = 4$$
Gráfica
Suma y producto de raíces [src]
suma
  /    16   \
 W|---------|
  |     2   |
  \9*log (3)/
 ------------
      4      
e            
$$e^{\frac{W\left(\frac{16}{9 \log{\left(3 \right)}^{2}}\right)}{4}}$$
=
  /    16   \
 W|---------|
  |     2   |
  \9*log (3)/
 ------------
      4      
e            
$$e^{\frac{W\left(\frac{16}{9 \log{\left(3 \right)}^{2}}\right)}{4}}$$
producto
  /    16   \
 W|---------|
  |     2   |
  \9*log (3)/
 ------------
      4      
e            
$$e^{\frac{W\left(\frac{16}{9 \log{\left(3 \right)}^{2}}\right)}{4}}$$
=
  /    16   \
 W|---------|
  |     2   |
  \9*log (3)/
 ------------
      4      
e            
$$e^{\frac{W\left(\frac{16}{9 \log{\left(3 \right)}^{2}}\right)}{4}}$$
exp(LambertW(16/(9*log(3)^2))/4)
Respuesta rápida [src]
       /    16   \
      W|---------|
       |     2   |
       \9*log (3)/
      ------------
           4      
x1 = e            
$$x_{1} = e^{\frac{W\left(\frac{16}{9 \log{\left(3 \right)}^{2}}\right)}{4}}$$
x1 = exp(LambertW(16/(9*log(3)^2))/4)
Respuesta numérica [src]
x1 = -0.54768524261586 + 0.256943402331532*i
x2 = 1.19668820143058
x3 = 1.19668820143057
x4 = -0.547685242615872 + 0.256943402331534*i
x5 = 1.19668820143057
x6 = -0.547685242615872 + 0.256943402331534*i
x7 = 1.1966882014306
x8 = -0.547685242615872 + 0.256943402331535*i
x8 = -0.547685242615872 + 0.256943402331535*i