Question

Use the equation and type the ordered-pairs.

Answer 1

Given the equation

y= $\[log_2(x)\]$

{(1/2,?), (1, ?), (2, ?), (4,?), (8,?), (16, ?)}

Lets start with (1/2, ?)

Ordered pair is (x,y)

In (1/2, ?) , x=1/2 and we need to find out y

y= $\[log_2(x)\]$

Plug in 1/2 for x, y= $\[log_2(1/2)\]$ = $\frac{log(1/2)}{log2}$ = -1

we do the same for all ordered pairs

(1, ?)

Plug in 1 for x, y= $\[log_2(1)\]$ = $\frac{log(1)}{log2}$ = 0

(2, ?)

Plug in 2 for x, y= $\[log_2(2)\]$ = $\frac{log(2)}{log2}$ = 1

(4, ?)

Plug in 4 for x, y= $\[log_2(1)\]$ = $\frac{log(4)}{log2}$ = 2

(8, ?)

Plug in 8 for x, y= $\[log_2(8)\]$ = $\frac{log(8)}{log2}$ = 3

(16, ?)

Plug in 16 for x, y= $\[log_2(16)\]$ = $\frac{log(16)}{log2}$ = 4

Ordered pairs are

{(1/2,-1), (1, 0), (2, 1), (4,2), (8,3), (16, 4)}