Answer:
[tex]log_2(512) = 9[/tex]
Step-by-step explanation:
[tex]We \: need \: to \: calculate \: log_2(512)[/tex]
[tex]512 = 2 {}^{9} ⟼ log_{2}(512) = log_{2} (2 {}^{9} ) [/tex]
[tex] log_{a}b {}^{n} = n \: log_{a}b[/tex][tex]⟼ log_{2} {2}^{9} = 9 \: log_{2}2[/tex]
[tex]since \: log_{a}a = 1⟼ log_{2}(512) = 9[/tex]
