Math Olympiad Problem X^X^3=36 | Nice Trick...

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In This video, you will learn how to solve the given nice exponential equations quickly. You should know this quick trick. It is a math Olympiad question.

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Another way is to let ( x^3 = y ) or ( x = y^(1/3))
The given equation then becomes (y^(1/3))^y = 36 or y^(y/3) = 36
Obviously y = 6 and x = 6^(1/3)

axeleast
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Nice trick. Everything fine except that -cuberoot(6) is not a solution. (You can verify directly that if x = -cuberoot(6) then the left side of the equation becomes 1/36 instead of 36).

billprovince
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X cannot be plus or minus. X must be plus

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