Question

Consider the equation below.

log.(x+3) = log2 (2+x)
Which system of equations can represent the equation?

Answer 1

Option (A)

Step-by-step explanation:

Good Luck on your test

Answer 2

Option (1)

Explanation:

`\text{log}_4(x + 3)=\text{log}_2(2 + x)`

`\text{log}_4(x + 3)=\frac{\text{log}_(10)(x+3)}{\text{log}_(10)4}`

`\text{log}_2(2 + x)=\frac{\text{log}_(10)(2+x)}{\text{log}_(10)2}`

System of equations can be written as,

`y_1=\text{log}_4(x + 3)=\frac{\text{log}_(10)(x+3)}{\text{log}_(10)4}`

`y_2=\text{log}_2(2 + x)=\frac{\text{log}_(10)(2+x)}{\text{log}_(10)2}`

Therefore, system of equations given in Option (1) is the correct option.