Question

.

Answer 1

what is the equation? \(2^y = 3~~or 2^y =x??\)

Answer 2

That is \(log_2 3 =y\) and its graph is a line.

Answer 3

Can't be one of the options.

Answer 4

If the question is \(2^y =x \\y = log_2 x\)
then, we can consider it is a function of x. But your equation is y = a number, not a function. Therefore, if it has a graph, the graph must be a horizontal straight line, not a curve as shown.

Answer 5

Or!! my knowledge is not enough to solve. I am sorry. Let's wait for @ganeshie8

Answer 6

The given graph must be a graph of \(f(x) = \log_2 x\) so that you can check its value at \(x=3\) and thus find \(y\), as Loser66 said.

What properties of the \(\log_2 x\) can you think about that can help us eliminate the wrong choices? I'll start: it is not defined at \(x=0\), so it never crosses the line \(x=0\) (which is what you may know as the y-axis).

Answer 7

Why can't it be B or C?

Answer 8

They never really cross the line \(x=0\)... they're only moving along it. The curve will get reaaaaaaaally close to \(x=0\) but never will it touch it.

Answer 9

Why not A or B or D?

Answer 10

I'm not convinced.

Answer 11

Did she mention why it's C?

Answer 12

Why?

Answer 13

Do you know who to evaluate \(f(x) = \log_2 x \) at different points? Basically do you know how the log function works?

Answer 14

how*

Answer 15

Have you been taught about graphing functions?

Answer 16

And do you know about the logarithmic function?

Answer 17

Well, if for instance, I ask you what \(\log(1)\) is... what is it?

Answer 18

What?

Answer 19

How?

Answer 20

Why did you choose C?

Answer 21

Well, why did you choose A?

Answer 22

You shouldn't do that. For instance, the graph given in A crosses the y-axis.

Answer 23

C is correct simply because it is the graph of \(f(x) = \log_2 x \).

Answer 24

That's what I thought, but you didn't confirm!

Answer 25

you want to chooses the graph that plots log base 2(x)

you should look for the graph that goes through y=0 when x=1
and y=1 when x=2

Answer 26

and y=2 when x= 4

Answer 27

You know that \(2^y = 3\) so \(y = \log_2 3\).

Now you can graph \(f(x) = \log_2 x\) and find the value of \(f(x)\) at \(x = 3\).