Question

Which system of equation can represent the equation?

Answer 1

A on edge 2021

Step-by-step explanation:

Answer 2

Answer:

log(x+3)
y₁ = --------------
log(4)

log(2 + x)
y₂ = ----------------
log(2)

Step-by-step explanation:

1) Here you must use the property named change of base of the logarithm.

That rule is:


`log_(a)b= \frac{log_c{b}}{log_ca}`

2) Changing to base 10 that is:


`log_(b)a= (loga)/(logb)`

3) Using it with the given equation, you get:


`log_4(x+3)= (log_(x+3))/(log(4)) log_2(2+x)= (log(2+x))/(log(2))`

4) Now, to set your system you can make the left side of the equation equal to y₁ and the right side equal to y₂

log(x+3)
y₁ = -------------
log(4)

log(2 + x)
y₂ = ---------------
log(2)

And that is your system which is the first choice of the list.