½ log 9 x ⅓ log 7 x 49 log 32

(1/2)'log 9 . (1/3)'log 7 . 49'log 32
= (2^-1)'log 3^2 . (3^-1)'log 7 . (7^2)'log 2^5
= (2/-1)(1/-1)(5/2) . 2'log 3 . 3'log 7 . 7'log 2
= (-2 × -1 × 5/2) . 2'log 2
= 5 . 1
= 5