Question 49

Let ๐‘š be the minimum possible value of $$\log_{3}(3^{y_{1}} + 3^{y_{2}} + 3^{y_{3}})$$, where $$y_{1}, y_{2}, y_{3}$$ are real numbers for which $$y_{1} + y_{2} + y_{3} = 9$$. Let ๐‘€ be the maximum possible value of $$(log_{3}x_{1} + log_{3}x_{2} + log_{3}x_{3})$$, where $$x_{1}, x_{2}, x_{3}$$ are positive real numbers for which $$x_{1} + x_{2} + x_{3} = 9$$. Then the value of $$log_{2}(m^{3}) + log_{3}(m^{2})$$ is _____


Correct Answer: e


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