Question

Which is the graph of y = 5log(x+3)

Answer 1

Answer with Step-by-step explanation:

We are given that

`y=5log(x+3)`

Substitute x=0

`y=5log(0+3)`

`y=5log3=5(0.477)=2.39`

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

Substitute y=0

`0=5log(x+3)`

`log(x+3)=0`

We know that
`log x=y\implies x=e^y`

Using the formula

`x+3=e^0=1`

By using
`e^0=1`

`x=1-3=-2`

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

Answer 2

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.

Explanation: