Consider the equation. log sub 4 of open paren x plus 3 close paren is equal to log sub 2 of open paren 2 plus x close paren Which system of equations can represent the equation?

Using the change-of-base formula, log base b of a number a equals log(a) divided by log(b). Thus the left side is log(x + 3)/log(4), and the right side is log(2 + x)/log(2). Setting y₁ and y₂ equal to these expressions represents the original equation as the intersection condition y₁ = y₂, matching choice B.

AI-written and checked against the verified answer.