vera_ewing
  • vera_ewing
.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Loser66
  • Loser66
what is the equation? \(2^y = 3~~or 2^y =x??\)
Loser66
  • Loser66
That is \(log_2 3 =y\) and its graph is a line.
Loser66
  • Loser66
Can't be one of the options.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

Loser66
  • Loser66
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.
Loser66
  • Loser66
Or!! my knowledge is not enough to solve. I am sorry. Let's wait for @ganeshie8
ParthKohli
  • ParthKohli
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).
ParthKohli
  • ParthKohli
Why can't it be B or C?
ParthKohli
  • ParthKohli
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.
ParthKohli
  • ParthKohli
Why not A or B or D?
ParthKohli
  • ParthKohli
I'm not convinced.
ParthKohli
  • ParthKohli
Did she mention why it's C?
ParthKohli
  • ParthKohli
Why?
ParthKohli
  • ParthKohli
Do you know who to evaluate \(f(x) = \log_2 x \) at different points? Basically do you know how the log function works?
ParthKohli
  • ParthKohli
how*
ParthKohli
  • ParthKohli
Have you been taught about graphing functions?
ParthKohli
  • ParthKohli
And do you know about the logarithmic function?
ParthKohli
  • ParthKohli
Well, if for instance, I ask you what \(\log(1)\) is... what is it?
ParthKohli
  • ParthKohli
What?
ParthKohli
  • ParthKohli
How?
ParthKohli
  • ParthKohli
Why did you choose C?
ParthKohli
  • ParthKohli
Well, why did you choose A?
ParthKohli
  • ParthKohli
You shouldn't do that. For instance, the graph given in A crosses the y-axis.
ParthKohli
  • ParthKohli
C is correct simply because it is the graph of \(f(x) = \log_2 x \).
vera_ewing
  • vera_ewing
That's what I thought, but you didn't confirm!
phi
  • phi
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
phi
  • phi
and y=2 when x= 4
ParthKohli
  • ParthKohli
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 \(x = 3\).

Looking for something else?

Not the answer you are looking for? Search for more explanations.