Re: No Closed Form Solution?

Hello, visserthree!

You are correct . . . There is no closed form.

We see that $\displaystyle \theta$ is "inside" an exponential function and "outside" of it.

This is a *transcendental function* . . . which has no closed form.

Other examples are:

. . $\displaystyle x + \sin x \:=\:1$

. . $\displaystyle x + \ln x \:=\:1$

. . $\displaystyle x + \arctan x \:=\:1$

Re: No Closed Form Solution?

Same problem with calculating i in most annuity formulas; like:

F = A[(1 + i)^n - 1] / i