Question

find the value of x in the attached ques

Answer 1

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Answer 2

Answer:

${2}^{x} = {2}^{2y} = {2}^{3z}$

bases are same powers should be equated

$x = 2y = 3z$

substitute in the given equation

$\frac{1}{2x} + \frac{1}{2(2y)} + \frac{1}{2(3z)} \\ = \frac{1}{2x} + \frac{1}{2x} + \frac{1}{2x} \\ \frac{1}{12} = \frac{3}{x} \\ x = 12(3) \\ x = 36$

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