Question

Match the y-coordinate with the given x-coordinate for the equation y = log2x.

1. 8 -1

2. 4 1

3. 2 3

4. 1 0

5. 1/2 2,

Answer 1

(8,3) (4,2) (2,1) (1,0) (1/2, -1)

Explanation:

I just did this and the side with the blanks is the y-coordinates. It was confusing at first not gonna lie. Those are the coordinates that the answers make.

Hope this helps future students :)

Answer 2

Logs are exponents so the log base 2 of 2 raised to the power n is just n.

`y = \log_2 x`

1.
`\log_2 8 = \log_2 2^3 = 3 \quad` nope, not -1

2.
`\log_2 4 = \log_2 2^2 = 2 \quad` nope, not 1

3.
`\log_2 2 = 1 \quad` nope, not 3

4.
`\log_2 1 = \log_2 2^0 = 0 \quad` YES, matches, CHOOSE ME!

5.
`\log_2 \frac 1 2 = \log_2 2^(-1) = -1 \quad` nope, not 2

Answer: choice 4