If 4^x = 8^y, then x : y =

1. 2 : 3

2. 3 : 2

3. 3 : 4

4. 4 : 3

Given,

⇒ 4^x = 8^y

Simplifying the expression:

⇒ (2²)^x = (2³)^y

⇒ 2^2x = 2^3y

Equating the exponents:

$\Rightarrow 2x = 3y \\[1em] \Rightarrow \dfrac{x}{y} = \dfrac{3}{2} \\[1em] \Rightarrow x : y = 3 : 2.$

Hence, option 2 is the correct option.