(Log6)(x+1)+log6(2x+1)=1 la ecuación
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Solución
Suma y producto de raíces
[src]
/ 2 \
| log (6)|
| -------|
| -log(6) 2 2 |
1 W\3*6 *log (6)*e /
- - + ------------------------------
2 2
log (6)
$$- \frac{1}{2} + \frac{W\left(\frac{3 e^{\frac{\log{\left(6 \right)}^{2}}{2}} \log{\left(6 \right)}^{2}}{6^{\log{\left(6 \right)}}}\right)}{\log{\left(6 \right)}^{2}}$$
/ 2 \
| log (6)|
| -------|
| -log(6) 2 2 |
1 W\3*6 *log (6)*e /
- - + ------------------------------
2 2
log (6)
$$- \frac{1}{2} + \frac{W\left(\frac{3 e^{\frac{\log{\left(6 \right)}^{2}}{2}} \log{\left(6 \right)}^{2}}{6^{\log{\left(6 \right)}}}\right)}{\log{\left(6 \right)}^{2}}$$
/ 2 \
| log (6)|
| -------|
| -log(6) 2 2 |
1 W\3*6 *log (6)*e /
- - + ------------------------------
2 2
log (6)
$$- \frac{1}{2} + \frac{W\left(\frac{3 e^{\frac{\log{\left(6 \right)}^{2}}{2}} \log{\left(6 \right)}^{2}}{6^{\log{\left(6 \right)}}}\right)}{\log{\left(6 \right)}^{2}}$$
/ 2 \
| log (6)|
| -------|
| -log(6) 2 2 |
1 W\3*6 *log (6)*e /
- - + ------------------------------
2 2
log (6)
$$- \frac{1}{2} + \frac{W\left(\frac{3 e^{\frac{\log{\left(6 \right)}^{2}}{2}} \log{\left(6 \right)}^{2}}{6^{\log{\left(6 \right)}}}\right)}{\log{\left(6 \right)}^{2}}$$
-1/2 + LambertW(3*6^(-log(6))*log(6)^2*exp(log(6)^2/2))/log(6)^2
/ 2 \
| log (6)|
| -------|
| -log(6) 2 2 |
1 W\3*6 *log (6)*e /
x1 = - - + ------------------------------
2 2
log (6)
$$x_{1} = - \frac{1}{2} + \frac{W\left(\frac{3 e^{\frac{\log{\left(6 \right)}^{2}}{2}} \log{\left(6 \right)}^{2}}{6^{\log{\left(6 \right)}}}\right)}{\log{\left(6 \right)}^{2}}$$
x1 = -1/2 + LambertW(3*6^(-log(6))*exp(log(6)^2/2)*log(6)^2)/log(6)^2