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= log(6/100) + log(36/100) - log(4/54)
= log(6/100 x 36/100 : 4/54)
= log( 216/10.000 x 54/4)
= log( 216/4 x 54/10.000)
= log(54²/10.0.000)
= log(2² x 3^6 ÷ 10⁴ )
= 2.log2 + 6.log3 - 4.log10
= 2xlog2 + 6xlog3 - 4x1
= 2 x log2 + 6 x log3 - 4
2. ½log1/3 x 27 log49 x 1/7 log1/32
= ^(2^-1)log2^-5 x ³^³log3-¹ x ^7-¹lof7²
= (-5/-1 x ²log2) x (-1/3 x ³log3) x (2/-1 x 7log7)
= (5 x 1) x ( -1/3 x 1) x ( -2 x 1)
= 5 x (-1/3) x (-2)
= 10/3
= 3⅓