Question

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

Answer 1

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:

Answer 2

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