El profesor se sorprenderá mucho al ver tu solución correcta😉
2 log (3)*x - 3*log(3*x) + 2 = 0
suma
/ 2 2/3 \ / 2 2/3 \ |-log (3)*e | |-log (3)*e | 3*W|--------------| 3*W|--------------, -1| \ 9 / \ 9 / - ------------------- - ----------------------- 2 2 log (3) log (3)
=
/ 2 2/3 \ / 2 2/3 \ |-log (3)*e | |-log (3)*e | 3*W|--------------| 3*W|--------------, -1| \ 9 / \ 9 / - ------------------- - ----------------------- 2 2 log (3) log (3)
producto
/ 2 2/3 \ / 2 2/3 \ |-log (3)*e | |-log (3)*e | -3*W|--------------| -3*W|--------------, -1| \ 9 / \ 9 / --------------------*------------------------ 2 2 log (3) log (3)
=
/ 2 2/3 \ / 2 2/3 \ |-log (3)*e | |-log (3)*e | 9*W|--------------|*W|--------------, -1| \ 9 / \ 9 / ----------------------------------------- 4 log (3)
9*LambertW(-log(3)^2*exp(2/3)/9)*LambertW(-log(3)^2*exp(2/3)/9, -1)/log(3)^4
/ 2 2/3 \ |-log (3)*e | -3*W|--------------| \ 9 / x1 = -------------------- 2 log (3)
/ 2 2/3 \ |-log (3)*e | -3*W|--------------, -1| \ 9 / x2 = ------------------------ 2 log (3)
x2 = -3*LambertW(-exp(2/3)*log(3^2/9, -1)/log(3)^2)