Our math teacher gave us the following exponential equation to solve:
...and I was stumped. Eventually, the solution given was to graph both sides and find their intersection using a calculator. But that solution doesn't satisfy me.
Is it possible to solve this problem algebraically? A full solution is not necessary - I'd just like to know if it's possible, and maybe some pointers towards solving it. I anticipate that a proper solution will probably involve concepts outside of my grasp, but if so, that is okay.