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(Log6)(x+1)+log6(2x+1)=1 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
                 log(2*x + 1)    
log(6)*(x + 1) + ------------ = 1
                    log(6)
(x+1)log⁡(6)+log⁡(2x+1)log⁡(6)=1\left(x + 1\right) \log{\left(6 \right)} + \frac{\log{\left(2 x + 1 \right)}}{\log{\left(6 \right)}} = 1
Simplificar
Gráfica
-15.0-12.5-10.0-7.5-5.0-2.50.02.55.07.510.012.5-2525
Trazar el gráfico f1(x)
Trazar el gráfico f2(x)
Suma y producto de raíces [src] 
suma
       /                       2   \
       |                    log (6)|
       |                    -------|
       |   -log(6)    2        2   |
  1   W\3*6       *log (6)*e       /
- - + ------------------------------
  2                 2               
                 log (6)
−12+W(3elog⁡(6)22log⁡(6)26log⁡(6))log⁡(6)2- \frac{1}{2} + \frac{W\left(\frac{3 e^{\frac{\log{\left(6 \right)}^{2}}{2}} \log{\left(6 \right)}^{2}}{6^{\log{\left(6 \right)}}}\right)}{\log{\left(6 \right)}^{2}} 
=
       /                       2   \
       |                    log (6)|
       |                    -------|
       |   -log(6)    2        2   |
  1   W\3*6       *log (6)*e       /
- - + ------------------------------
  2                 2               
                 log (6)
−12+W(3elog⁡(6)22log⁡(6)26log⁡(6))log⁡(6)2- \frac{1}{2} + \frac{W\left(\frac{3 e^{\frac{\log{\left(6 \right)}^{2}}{2}} \log{\left(6 \right)}^{2}}{6^{\log{\left(6 \right)}}}\right)}{\log{\left(6 \right)}^{2}} 
producto
       /                       2   \
       |                    log (6)|
       |                    -------|
       |   -log(6)    2        2   |
  1   W\3*6       *log (6)*e       /
- - + ------------------------------
  2                 2               
                 log (6)
−12+W(3elog⁡(6)22log⁡(6)26log⁡(6))log⁡(6)2- \frac{1}{2} + \frac{W\left(\frac{3 e^{\frac{\log{\left(6 \right)}^{2}}{2}} \log{\left(6 \right)}^{2}}{6^{\log{\left(6 \right)}}}\right)}{\log{\left(6 \right)}^{2}} 
=
       /                       2   \
       |                    log (6)|
       |                    -------|
       |   -log(6)    2        2   |
  1   W\3*6       *log (6)*e       /
- - + ------------------------------
  2                 2               
                 log (6)
−12+W(3elog⁡(6)22log⁡(6)26log⁡(6))log⁡(6)2- \frac{1}{2} + \frac{W\left(\frac{3 e^{\frac{\log{\left(6 \right)}^{2}}{2}} \log{\left(6 \right)}^{2}}{6^{\log{\left(6 \right)}}}\right)}{\log{\left(6 \right)}^{2}} 
-1/2 + LambertW(3*6^(-log(6))*log(6)^2*exp(log(6)^2/2))/log(6)^2
Respuesta rápida [src] 
            /                       2   \
            |                    log (6)|
            |                    -------|
            |   -log(6)    2        2   |
       1   W\3*6       *log (6)*e       /
x1 = - - + ------------------------------
       2                 2               
                      log (6)
x1=−12+W(3elog⁡(6)22log⁡(6)26log⁡(6))log⁡(6)2x_{1} = - \frac{1}{2} + \frac{W\left(\frac{3 e^{\frac{\log{\left(6 \right)}^{2}}{2}} \log{\left(6 \right)}^{2}}{6^{\log{\left(6 \right)}}}\right)}{\log{\left(6 \right)}^{2}} 
x1 = -1/2 + LambertW(3*6^(-log(6))*exp(log(6)^2/2)*log(6)^2)/log(6)^2
Respuesta numérica [src] 
x1 = -0.239180140939998
x1 = -0.239180140939998
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