Question

Which system of equations could be graphed to solve the equation below?

log₀.5 5x = log₃ (2+x)

a) Y₁ = log₂+x/log₀.5 , Y₂ = log₃ (2+x)

b) Y₁ = logₓ 0.5 , Y₂ = log₃ left(2+ x/log₀.5right)

c) Y₁ = log₀.5 x , Y₂ = log₃ (2+x)

d) Y₁ = log₃ 0.5 , Y₂ = logₓ (2+x)

Answer 1

The correct system of equations that could be graphed to solve the equation log₀.5 5x = log₃ (2+x) is Y₁ = log₂+x/log₀.₅ , Y₂ = log₃ (2+x).

Step-by-step explanation:

The correct system of equations that could be graphed to solve the equation log₀.5 5x = log₃ (2+x) is:

Y₁ = logₒ.₅ x

Y₂ = log₃ (2+x)

To solve this equation, we need to rewrite it with the same base. Since log₀.₅ 5x = log₃ (2+x), we can rewrite it as log₂+x/log₀.₅ (5x) = log₃ (2+x). Therefore, the correct answer is option (a): Y₁ = log₂+x/log₀.₅ , Y₂ = log₃ (2+x).