jika 5 log a - 3(5logb) = -3 dan 5logb-2(5loga)=-4 maka nilai (8a.b)

^ tanda pangkat
^5log a - ^5log b^3 = - 3
^5log (a/b^3) = -3
a/b^3 = 5^-3
a/b^3 = 1/5^3
a/b^3 = 1/125
a.125 = b^3
b = ³√125.a
b = 5 ³√a
^5log b - ^5log a^2 = -4
^5log (b/a^2) = -4
b/a^2 = 5^-4
b/a^2 = 1/5^4
(5.³√a) / a^2 = 1/5^4
a^(1/3 - 2) = 1 / (5^4 . 5)
a^(-5/3) = 5^-5
a = 5^(-5 . -3/5)
a = 5^3 = 125
b/5^3 = 1/5^4
b = 5^3/5^4
b = 1/5
8a.b = 8(125) × 1/5 = 200