3^(x)+2*x-2=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Suma y producto de raíces
[src]
/3*log(3)\
W|--------|
\ 2 /
1 - -----------
log(3)
$$- \frac{W\left(\frac{3 \log{\left(3 \right)}}{2}\right)}{\log{\left(3 \right)}} + 1$$
/3*log(3)\
W|--------|
\ 2 /
1 - -----------
log(3)
$$- \frac{W\left(\frac{3 \log{\left(3 \right)}}{2}\right)}{\log{\left(3 \right)}} + 1$$
/3*log(3)\
W|--------|
\ 2 /
1 - -----------
log(3)
$$- \frac{W\left(\frac{3 \log{\left(3 \right)}}{2}\right)}{\log{\left(3 \right)}} + 1$$
/3*log(3)\
W|--------|
\ 2 /
1 - -----------
log(3)
$$- \frac{W\left(\frac{3 \log{\left(3 \right)}}{2}\right)}{\log{\left(3 \right)}} + 1$$
1 - LambertW(3*log(3)/2)/log(3)
/3*log(3)\
W|--------|
\ 2 /
x1 = 1 - -----------
log(3)
$$x_{1} = - \frac{W\left(\frac{3 \log{\left(3 \right)}}{2}\right)}{\log{\left(3 \right)}} + 1$$
x1 = -LambertW(3*log(3)/2)/log(3) + 1