Question

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Use the domain {, 1, 2, 4, 8, 16} and plot the points on the graph that would best satisfy the equation y = log2x.

Answer 1

I will determine the log base 2 of x for the x-values in the set {1, 2, 4, 8, 16}.

I will use these properties:

log base m of m^n = n,

Which written with the math editor is:


`log_(m)m^n=n`

1) x = 1

1 = 2^0 =>


`log_(2)1=log_(2)2^0=0`

2) x = 2

2 = 2^1 =>


`log_(2)2 = log_(2)2^1=1`

3) x = 4

4 = 2^2 =>


`log_(2)4=log_22^2=2`

4) x = 8

8 = 2^3 =>


`log_28=log_22^3=3`

5) x = 12

16 = 2^4 =>


`log_216=log_22^4=4`

6) Now you can plot the points on the graph. The points that you have to plot are:

(1,0)
(2,1)
(4,2)
(8,3)
(16,4)