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log(1-x,9)=log(48,9)-log(3-x,9) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
log(1 - x)      /489\   log(3 - x)
---------- = log|---| - ----------
  log(9)        \ 10/     log(9)  
$$\frac{\log{\left(1 - x \right)}}{\log{\left(9 \right)}} = - \frac{\log{\left(3 - x \right)}}{\log{\left(9 \right)}} + \log{\left(\frac{489}{10} \right)}$$
Gráfica
Respuesta rápida [src]
                      ______________________
           -log(3)   /   log(9)      log(9) 
x1 = 2 - 10       *\/  10       + 489       
$$x_{1} = - \frac{\sqrt{10^{\log{\left(9 \right)}} + 489^{\log{\left(9 \right)}}}}{10^{\log{\left(3 \right)}}} + 2$$
x1 = -10^(-log(3))*sqrt(10^log(9) + 489^log(9)) + 2
Suma y producto de raíces [src]
suma
                 ______________________
      -log(3)   /   log(9)      log(9) 
2 - 10       *\/  10       + 489       
$$- \frac{\sqrt{10^{\log{\left(9 \right)}} + 489^{\log{\left(9 \right)}}}}{10^{\log{\left(3 \right)}}} + 2$$
=
                 ______________________
      -log(3)   /   log(9)      log(9) 
2 - 10       *\/  10       + 489       
$$- \frac{\sqrt{10^{\log{\left(9 \right)}} + 489^{\log{\left(9 \right)}}}}{10^{\log{\left(3 \right)}}} + 2$$
producto
                 ______________________
      -log(3)   /   log(9)      log(9) 
2 - 10       *\/  10       + 489       
$$- \frac{\sqrt{10^{\log{\left(9 \right)}} + 489^{\log{\left(9 \right)}}}}{10^{\log{\left(3 \right)}}} + 2$$
=
                 ______________________
      -log(3)   /   log(9)      log(9) 
2 - 10       *\/  10       + 489       
$$- \frac{\sqrt{10^{\log{\left(9 \right)}} + 489^{\log{\left(9 \right)}}}}{10^{\log{\left(3 \right)}}} + 2$$
2 - 10^(-log(3))*sqrt(10^log(9) + 489^log(9))
Respuesta numérica [src]
x1 = -69.7691221225607
x1 = -69.7691221225607