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vera_ewing
 one year ago
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vera_ewing
 one year ago
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Loser66
 one year ago
Best ResponseYou've already chosen the best response.0what is the equation? \(2^y = 3~~or 2^y =x??\)

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0That is \(log_2 3 =y\) and its graph is a line.

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0Can't be one of the options.

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0If 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
 one year ago
Best ResponseYou've already chosen the best response.0Or!! my knowledge is not enough to solve. I am sorry. Let's wait for @ganeshie8

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0The 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 yaxis).

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0Why can't it be B or C?

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0They 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
 one year ago
Best ResponseYou've already chosen the best response.0Why not A or B or D?

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0Did she mention why it's C?

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0Do you know who to evaluate \(f(x) = \log_2 x \) at different points? Basically do you know how the log function works?

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0Have you been taught about graphing functions?

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0And do you know about the logarithmic function?

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0Well, if for instance, I ask you what \(\log(1)\) is... what is it?

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0Why did you choose C?

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0Well, why did you choose A?

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0You shouldn't do that. For instance, the graph given in A crosses the yaxis.

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0C is correct simply because it is the graph of \(f(x) = \log_2 x \).

vera_ewing
 one year ago
Best ResponseYou've already chosen the best response.0That's what I thought, but you didn't confirm!

phi
 one year ago
Best ResponseYou've already chosen the best response.0you 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

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0You 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 \(x = 3\).
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