Many People Are Stumped By This Problem | A Nice Exponential Problem

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In todays video, I will be teaching you how to solve an exponential equation. Make sure to like, subscribe, and also comment any questions or video ideas you may have relating to math!

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By the gods your answer is overcomplicated! Just take the 4th root of both sides, and you get x - 4 = ωx, where ω is any of the four 4th roots of the unity (exp 2πik/4). It's immediate that for ω = 1 there is no solution. Therefore you're left with three solutions with ω = -1, i, -i.

Risuchan