Jika a log b - b log a = -3

ᵃlog b  - ᵇlog a = - 3
nilai (ᵃlog b)² + (ᵇlog a )²  = ..

misalkan ᵃlog b = x dan ᵇlog a  y
x.y  = ᵃlog b. ᵇlog a = 1
x - y = - 3
.
(ᵃlog b)² + (ᵇ log a)² = x² + y²
x² +y²  = (x - y)² + 2x y
x² +y²  = (-3)² + 2(1)
x² +y²  = 9-2 = 7