Equation with the variable in the exponent and also in the base Does anyone know how to solve this equation, with the variable in the exponent and also in the base?
$$1.05^{2y}-0.13y-1=0$$
Thank you very much.

Equations like this can sometimes be "solved" using the Lambert W function, but many do not define that as a solution. Usually you are reduced to numeric rootfinding, which is discussed in any numerical analysis book.  This one has a root at $y=0$ and another near $5.5$ as shown by this Alpha plot.  Alpha gives this solution, but I don't feel much smarter. I haven't gotten it to solve it numerically
