Logs are exponents so the log base 2 of 2 raised to the power n is just n.
[tex] y = \log_2 x [/tex]
1. [tex]\log_2 8 = \log_2 2^3 = 3 \quad [/tex] nope, not -1
2. [tex]\log_2 4 = \log_2 2^2 = 2 \quad [/tex] nope, not 1
3. [tex]\log_2 2 = 1 \quad [/tex] nope, not 3
4. [tex]\log_2 1 = \log_2 2^0 = 0 \quad [/tex] YES, matches, CHOOSE ME!
5. [tex]\log_2 \frac 1 2 = \log_2 2^{-1} = -1 \quad [/tex] nope, not 2
Answer: choice 4
