This is how I originally taught students to solve these kinds of exponential equations, and I think it’s more useful for nasty type problems that they might see in PreCalculus (when x is in both exponents). But this year I found that I got a lot of mileage out of the idea of rewriting the equation in log form (so log (of base 1/3) of (1/2) = x+2). I think there is a lot of good thought going on in their brains when they convert between log form and exponent form, so most students chose the second approach on the assessments.

 

December 8, 2017

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