## CSMC 2021 Part A - Question 5, CEMC UWaterloo

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#### Difficulty: 6

#### This problem is tagged with csmc, csmc21, highschool.

**(Canadian Senior Mathematics Contest 2021, Part A, Question 5, CEMC - UWaterloo)**

What are all real numbers $x \gt 0$ for which $\log _{2} (x^2) + 2 \log _{x} 8 = \frac{392}{\log _{2} (x^3) + 20 \log _{x} (32)}$?

*Answer Submission Note(s)*

Your answer must contain all values of $x$ in increasing order and space-separated. Type fractional answers as "x/y". Negative exponent answers must be rewritten in fractional form to receive marks.

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