jika ab^log a =1/3 dan a^log bc = 3/2 maka nilai c^log a adalah?

Mapel : Matematika
Kelas : X SMA
Bab : Eksponen dan Logaritma

Pembahasan :
ab'log a = 1/3
(ab)^1/3 = a
a^1/3 . b^1/3 = a
b^1/3 = a^(1 - 1/3)
b^1/3 = a^2/3
b = a²

a'log bc = 3/2
a^3/2 = bc
a^3/2 = a²c
c = a^(3/2 - 2)
c = a^-1/2

Maka...
c'log a
= (a^-1/2)'log a
= 1/(-1/2) a'log a
= -2 . 1
= -2

Opsi A.