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2015-02-20T17:44:16+08:00

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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
y=0
Any number raise to 0 is one. So the first coordinates is (1,0)

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

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

If we let x be 1/2
y=log_{2} \frac{1}{2}
y=-1
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.
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