MATLAB: “Cannot find explicit solution”

explicit solution

Matlab says "Cannot find explicit solution", although I can solve it manually.
The initial equation is below:
And the explicit solution is below:
What is wrong with my code, below?
———————————-
>> syms x n b r a
eqn = x*(1+n)==(b/(b+1))*r*(1-a)*x^a ;
solx = solve(eqn, x)
Warning: Cannot find explicit solution. 
> In solve (line 318) 
solx =
Empty sym: 0-by-1
————————————

Best Answer

Sometimes, you have to lead it gently by the hand:
syms x n b r a 
eqn = x*(1+n)==(b/(b+1))*r*(1-a)*x^a ;
eqn = rewrite(eqn,'log');
solx = solve(eqn, x, 'IgnoreAnalyticConstraints',1)
pretty(solx)
solx =
(-((b + 1)*(n + 1))/(b*r*(a - 1)))^(1/(a - 1))
                         1
                       -----
  /   (b + 1) (n + 1) \a - 1
  | - --------------- |
  \     b r (a - 1)   /
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