I have the equation x = a*b^x and want to solve it for x. But every online solver I tried says that it is not possible.
But when I choose a==8 and b==0.5 there is a solution for x==2
Is it not possible to solve the equation formally?
I have the equation x = a*b^x and want to solve it for x. But every online solver I tried says that it is not possible.
But when I choose a==8 and b==0.5 there is a solution for x==2
Is it not possible to solve the equation formally?
There are no elementary formulas for such equations. Using the Lambert W function, the solution is $$x = -\frac{W(-a \log b)}{\log b}$$