I'm not sure I understand what you might construe as a lie here. Typically, there are two kinds of problems similar to this one. The first is when each side of the equation can be neatly resolved with exponents, which is what I modeled in this exercise. I assume that was the aim here, based on the sample problem on the trello board. This problem is typically solved as I showed in the hints by getting to a common base and setting the exponents equal. In a similar problem, where there is no way to achieve a common base, logarithms are required for a solution. Typically, then, calculators are also required and the student learns how their calculator function differs from the theoretical logarithm. I did not implement that problem. If I misinterpreted the aim of this exercise by reading too much into the sample, let me know and I will take care of it.

I'll get the rest of the issues fixed tomorrow.