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= ^7 log 2³ x ^2 log 3² x ^3 log 7^-1
= 3. ^7 log 2 x 2. ^2 log 3 x (-1) ^3 log 7
= (3 x 2 x (-1)) . ^7 log 2 x ^2 log 3 x ^3 log 7
= -6 . ^7 log 7
= -6 . 1
= -6