Respuesta :

alejandrocampos54

Answer:

We are given a equation as:

5log(x+3)=5

We are asked to find a graph that is used to solve the above equation.

We can write the given equation as:

we will divide both side of the equation by 5 to obtain:

log(x+3)=1

Now we have to determine which graph represents the function:

y=log(x+3)

since we know that when x=-2.

y=log(-2+3)=log(1)=0

Hence, the graph should pass through (-2,0).

Hence, the graph that satisfies this is attached to the answer.

Step-by-step explanation:

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Answer with Step-by-step explanation:

We are given that

[tex]y=5log(x+3)[/tex]

Substitute x=0

[tex]y=5log(0+3)[/tex]

[tex]y=5log3=5(0.477)=2.39[/tex]

Therefore, the graph cut the y-axis at point y=2.39

Substitute y=0

[tex]0=5log(x+3)[/tex]

[tex]log(x+3)=0[/tex]

We know that [tex]log x=y\implies x=e^y[/tex]

Using the formula

[tex]x+3=e^0=1[/tex]

By using [tex]e^0=1[/tex]

[tex]x=1-3=-2[/tex]

Hence, the graph x- axis at point x=-2

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