Sequences and Series
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Let m 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 forwhich y 1 + y 2 + y 3 = 9 . Let M 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 _____.
[JEE Adv 2020 P1]
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