Well, of course I should adapt the code to my case, then it actually
works:
In [34]: sol=-((4*log(7) + 5*LambertW(-7*3**(S(1)/5)*log(7)/5))/
(3*log(7)))
In [35]: sol
Out[35]:
⎛ ⎛ 5 ⎽⎽⎽ ⎞⎞
⎜ ⎜-7⋅╲╱ 3 ⋅log(7)⎟⎟
-⎜4⋅log(7) + 5⋅LambertW⎜───────────────⎟⎟
⎝ ⎝ 5 ⎠⎠
─────────────────────────────────────────
3⋅log(7)
In [36]: ans
Out[36]:
⎛ ⎛ 5 ⎽⎽⎽ ⎞⎞
⎜ ⎜-7⋅╲╱ 3 ⋅log(7)⎟⎟
-⎜4⋅log(7) + 5⋅LambertW⎜───────────────⎟⎟
⎝ ⎝ 5 ⎠⎠
─────────────────────────────────────────
3⋅log(7)
In [37]: sol==ans
Out[37]: True
Thanks, I'll revise my patches.
Vinzent
On Dec 17, 8:39 pm, Vinzent Steinberg
<[email protected]> wrote:
> I get always False here:
>
> In [1]: sol2=-(4*log(7) +
> 5*LambertW(-7*2**Rational(4,5)*6**Rational(1,5)*log(7)/10))/
> (3*log(7))
> In [2]: sol3=-((4*log(7) +
> 5*LambertW(-7*2**Rational(4,5)*6**Rational(1,5)*log(7)/10))/
> (3*log(7)))
>
> In [3]: sol2
> Out[3]:
> ⎛ 4/5 5 ⎽⎽⎽ ⎞
> ⎜-7⋅2 ⋅╲╱ 6 ⋅log(7)⎟
> - 5⋅LambertW⎜────────────────────⎟ - 4⋅log(7)
> ⎝ 10 ⎠
> ─────────────────────────────────────────────
> 3⋅log(7)
>
> In [4]: sol3
> Out[4]:
> ⎛ ⎛ 4/5 5 ⎽⎽⎽ ⎞⎞
> ⎜ ⎜-7⋅2 ⋅╲╱ 6 ⋅log(7)⎟⎟
> -⎜4⋅log(7) + 5⋅LambertW⎜────────────────────⎟⎟
> ⎝ ⎝ 10 ⎠⎠
> ──────────────────────────────────────────────
> 3⋅log(7)
>
> In [5]: sol2==sol3
> Out[5]: False
>
> In [6]: s = solve(2*(3*x+4)**5 - 6*7**(3*x+9), x)
>
> In [7]: s
> Out[7]:
> ⎡ ⎛ ⎛ 5 ⎽⎽⎽ ⎞⎞⎤
> ⎢ ⎜ ⎜-7⋅╲╱ 3 ⋅log(7)⎟⎟⎥
> ⎢-⎜4⋅log(7) + 5⋅LambertW⎜───────────────⎟⎟⎥
> ⎢ ⎝ ⎝ 5 ⎠⎠⎥
> ⎢─────────────────────────────────────────⎥
> ⎣ 3⋅log(7) ⎦
>
> In [8]: ans = s[0]
>
> In [9]: ans
> Out[9]:
> ⎛ ⎛ 5 ⎽⎽⎽ ⎞⎞
> ⎜ ⎜-7⋅╲╱ 3 ⋅log(7)⎟⎟
> -⎜4⋅log(7) + 5⋅LambertW⎜───────────────⎟⎟
> ⎝ ⎝ 5 ⎠⎠
> ─────────────────────────────────────────
> 3⋅log(7)
>
> In [10]: ans==sol2
> Out[10]: False
>
> In [11]: ans==sol3
> Out[11]: False
>
> Vinzent
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