A great exponential equation - Math Challenge👍

A great equation. Math Olympiad Question
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[@northdallashs1]

mathsmood, but you used the "guess-plugin-check" method on your last step. Transcendental equations having at least one algebraic term can almost never be solved algebraically, so some form of g-p-c (including Newton's method) is needed. An easier solution (than yours) for this equation is to realize that if x>=1, (1/4)^x will be