This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
So the given is y=log_{2} x
For me to be a lot easier, just substitute it by its power, since the base is 2, we can substitute values like 1, 2, 4, 8, 1/2, 1/4, 1/8 such as that. remember that x is the set of all real numbers.

If we let x become 1:
y=log_{2} 1
Any number raise to 0 is one. So the first coordinates is (1,0)

If we let x become 2
y=log_{2} 2
The coordinates will be (2,1)

If we let x become 8
y=log_{2} 8
The coordinates will be (8,3)

If we let x be 1/2
y=log_{2} \frac{1}{2}
Therefore the coordinates is (1/2,-1)

Just do like that, if you are done, just graph a line, not a straight but a curve line. Hope this helps =)

The graph should be between the 1st and the 4th quadrant, in the 4th quad, the line will not touch to 0.