Question

If x^ay^b = e^m, x^cy^d = eⁿ, Δ₁ = |(m,b),(n,d)|, Δ₂ = |(a,m),(c,n)|, Δ₃ = |(a,b),(c,d)| then the value of x and y are respectively.

(a) e^{(Δ₂/Δ₁)}, e^{(Δ₃/Δ₁)}

(b) log(Δ₁/Δ₃), log(Δ₂/Δ₃)

(c) log(Δ₂/Δ₁), log(Δ₃/Δ₁)

(d) e^{(Δ₁/Δ₃)}, e^{(Δ₂/Δ₃)}

Answer 1

(d) e^{(Δ₁/Δ₃)}, e^{(Δ₂/Δ₃)}