Tentukan logaritma berikut. a. (81)^(3log5) - (27)^(9log36)

a. 415, b. 3/2

Pembahasan

a. (81)^(3log5) - (27)^(9log36) + (3)^(3log6)
= (3^4)^(3log5) - (3^3)^(9log36) + (3)^(3log6)
= (3^(3log5))^4 - (3^(9log36))^3 + (3)^(3log6)
= 5^4 - (36^(9log3/9log3))^3 + 6
= 625 - (36^(1/2))^3 + 6
= 625 - 6^3 + 6
= 625 - 216 + 6
= 415
b. 3log5 . 25log27
= 3log5 . (5^2)log(3^3)
= 3log5 . (3/2) 5log3
= (3/2) (3log3)
= 3/2